Q: If the slope of the tangent line to the graph of y%3f(x) at x-Da is m(a)%=D2a+1, and f(1)=5, then…
A: Given: If the slope of the tangent line to the graph of y=fx at x=a is ma=2a+1and f1=5. To Find: f2…
Q: [3] If the curve is defined by y = x* – 8x3 + 22x2-24x+9, then what are the value/s of x for which…
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Q: Find an equation of the tangent line to the graph of y = f(x) at the given x. 14. f(x) = 1 at x = 4
A: Rtyu
Q: 1. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5 – x² AT (3,–4).
A: f(x)=5-x2 To find the slope of tangent, we can use two alternatives (1) Direct derivative (2)…
Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = V12x + 4 at…
A: The function is fx=12x+4 and the point is given as 1,4. Differentiate the function with respect to…
Q: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…
A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…
Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…
A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2 So we get: g'(-2)= -9 The tangent line…
Q: 1. Determine the points where the slope of the tangent to the curve: a. f(x) = 1- 3x² is equal to 5…
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Q: For which value(s) of x does f(x)=−x^3/3−2x^2+3x−8 have a tangent line of slope 7?
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Q: 9) Find the equation of the tangent line to the function f(x)=-3x² - 2x at the point where x=1. Give…
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Q: Find a number a such that the tangent line to the graph v= 3x at x = a is parallel to the tangent…
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Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and fl-1)=2, then what…
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Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1
A: The required equation of the tangent line to the graph is y = -36x + 1
Q: Find the equation of the tangent line to the graph of f (x) = -4e2* at the point (0, -4). Hinti Sh
A: Explanation of the answer is as follows
Q: Q1. Write down the linear (tangent line) approximation to y = e x / 2 at the point x = 0, and…
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Q: 2. Find the equation of the tangent line to the graph of the function at the indicated point. (a)…
A: Explanation of the answer is as follows
Q: What is the slope of the tangent line that touches the graph of In(y) +e-=3y– 4x at the point A В) з…
A: slope , m=dydx.
Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = −3 and g'(2) = 4.…
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Q: Find f(x) if f(2) = 3 and the tangent line at x has slope (x - 1)e** - 2x. f(x) = 1)et?
A: We have to find the function
Q: 4. Find an equation of the line tangent to g(x) = 3x² - x +1 at x= 1.
A: Given function
Q: 22. Find an equation of the tangent line to the graph of f(x) = 4 - x² at (a) (-1,3); (b) (0, 4);…
A: Given: f(x)=4-x2 To Find: the equation of the tangent line to the graph at a) (-1, 3) b) (0, 4)…
Q: If the slope of the tangent line to the graph of f(x) at x is m(x)=3x^2-2x+1 and f(2)=4, then what…
A: The slope of the tangent line to the graph of f(x) at x is m(x)=3x2-2x+1 and f(2)=4.
Q: 10. (a) Find an equation for the line tangent to f(x) = x³ + 4x² at the point x = 1.
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Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…
A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…
Q: If the slope of the tangent line to the graph of f(x) at x is m(x) = 3x<– 2x +1 and f(2)=3, then…
A: Given query is to find the value of f(-4).
Q: Find an equation of the line tangent to the graph of the function: f(x) = V2x² – 1 at point P(-1;1).
A: Given:- f(x) = (2x2-1)(1/3) To find:- Equation of tangent line at point p(-1, 1) on given curve
Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x
A: Given: f(x)=2x
Q: 1. Find the slope of the line tangent to the graph of f (x) = x³ In (x² – 5x + 7) at x = 2. - Do NOT…
A: We have to find slope to given equation by derivative.
Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).
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Q: 25.For which x – values does the graph of y = e3x³-2x-4x have a horizontal tangent line ?
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Q: If the slope of the tangent line to the graph of y-f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…
A: m(a)= 2 a + 1 f'(x) = m(x) = 2x +1 Integrating f'(x) gives f(x); f(x) = 2(x2/2) + x + c f(x) = x2 +…
Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = −3 and g'(4) = 6.
A: Given that y=g(x) and g(4)=-3 also g'(4)=6 We have to find the equation of tangent line . Please…
Q: 8) Find the equation of the tangent line to the graph of g(x) x3 7 at x = 2. -
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Q: If the slope of the tangent line to the graph of y-f(x) at x-a is m(a)=20+1, and f(1)-5, then what…
A: We have to find function
Q: 1) Find the slope of the tangent line to the graph of f(x) = x2 - 3 at the point (2, 1). %3D (8…
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Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a
A: given,y=3+4x2-2x3
Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…
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Q: 3. Given that the graph of f passes through the point (2,5) and that the slope of the tangent line…
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Q: 4. Find the equation of the tangent line of the graph of f(x) = 12/T – 16 at the point where the…
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Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).
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Q: What is the slope of the tangent line that touches the graph of In(y)+e2x-=3y – 4x at the point (A 1…
A: The solution are next step
Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…
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Q: If the slope of the tangent line to the graph of f(x) at x is m(x)=3x^2-2x+1 and f(2)=4, then what…
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Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.
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Q: Find an equation of the tangent line to the graph of y = x(x + 2)4 at the point (2, 512).
A: The tangent is given by dydx So, In this question we differentiate y with respect to x and then put…
Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at…
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Q: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.
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Q: Given that the graph of f(x) passes through the point (10, 8) and that the slope of its tangent line…
A: Solution )slop of tangent line f'(x) = 2x + 5 Intregating both sides ∫f'(x) =…
Q: Given that the graph of f(x) passes through the point (5,10) and that the slope of its tangent line…
A: The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at (x,f(x))…
Q: Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1.…
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- 5-6 Yes or No? If No, give a reason aIs the average rate of change of a function between x=a and x=b the slope of the secant line through (a,f(a)) and (b,f(b))?Experiment 3: 3A. Slide the large circle on the parabola so the small circle on the x-axis is at x = 0. Substitute x = 0 into f(x). State the value f(0). 3B. Does the slope of the tangent line appear to be positive, negative, zero or undefined? 3C. State the slope of the tangent line by substituting x = 0 into the derivative f'(x). State the value f'(0). 3D. Does f'(0), the y-coordinate on the gray line at x = 0, have any relationship to the derivative value f'(0)? 3E. Does f'(0), the y-coordinate on the derivative line at x = 0, have any relationship to f(0), the y-coord. on the parabola at x = 0? Experiment 4: State your conclusion as to the relationship between the graph of the function f(x) and the graph of the derivative function f'(x).Experiment 1: 1D. State the slope of the tangent line by substituting x = 2 into the derivative f'(x). State the value f'(2). 1E. Does f'(2), the y-coordinate on the gray line at x = 2, have any relationship to the derivative value f'(2)? 1F. Does f'(2), the y-coordinate on the gray line at x = 2, have any relationship to f(2), the y-coordinate on the parabola at x = 2?
- (a) If f(x) = ln(cos 2x) then find the slope of the graph of f(x) at x = π/8.(b) Find the equation of the tangent line to the graph of the equation−x^2y-3xy^2+y^3=-4at the point (1, 2)g(x) = 1.1x + ex , (0,1) Find an equation of the tangent line to the graph of the function at the given point.Experiment 3: 3D. Does f'(0), the y-coordinate on the gray line at x = 0, have any relationship to the derivative value f'(0)? 3E. Does f'(0), the y-coordinate on the derivative line at x = 0, have any relationship to f(0), the y-coord. on the parabola at x = 0?
- In Example 6 in this section, we were given f(x) = 3x2 + 2x + 11 and found f '(x) = 6x + 2. (a) Find the instantaneous rate of change of f(x) at x = 6. (b) Find the slope of the tangent to the graph of y = f(x) at x = 6. (c) Find the point on the graph of y = f(x) at x = 6. (x, y) = ( )1. a. Sketch the curve f(x) =x/(x-1)^2 b. Find the equation of the tangent line and normal line of the function y^3+3xy+x^4=5 at the point (1,1). complete solution.thank you1. Find all values of x such that the graph of f(x) = x/(1+x^2) has a horizontal tangent line at x. 2. Find the equation of the tangent line to (1+x)/ (1+e^x) at the point (0, 1/2)
- Answer question 4, part ii. There is a tangent to f(x) on the domain x>0 with the same slope as the normal from the previous part. Find the equation of the tangent line.f(x) = √x; x = 1, x = 4. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find the slope of the tangent line to the graph of f at each of the two values of x given to the right of the function.A. Find the equation of the tangent line to the curve y=(x-1)^ 5 (x+4)^2 at the point (2,36). The equation of the tangent line to the curve at the given point is y=_________ B. Differentiate the function. y= [(2x^2+4x+3)(x-9)]^2