Q: 18. Find the denvative or the runction y = 2x - 13x + 5 and use it to find an equation of the line…
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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: nd the equation of the tangent line to the graph of ƒ(x) = (1+x³)−² at the point
A: Topic:- application of derivatives
Q: 3. Determine the value of b if the slope of the tangent to f(x) = (3x² + 1)(2x² + b) at x =– 1 is –…
A: given, fx=y=3x2+12x2+b slope of the tangent, at x=-1 dydx=-16
Q: Find an equation of the line L tangent to the graph of f(x) = 8x +1 at x = 1/2.
A: Calculate the y-coordinate of the point where the tangent has to be drawn. Substitute 12 for x in…
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: Suppose that the line 2x + 3y = 5 is a tangent to the curve y = f (x) at x = 1. The value of f ‘(1)…
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Q: Find the equation of the tangent line to the graph of the function f (x) = V 4x4 +12 at the point…
A: Given: The equation of a function is, f(x)=4x4+12. The objective is to find the equation of…
Q: Find an equation for the line tangent to the graph of f at (2,15), where f is given by…
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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: 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: Find f(4) and f'(4), assuming that the tangent line to y = f(x) at a = 4 is y = -7x +2.
A: The derivative of a function at a point represents the slopeof tangent at that point .
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: Find an equation of the tangent line to the graph of f (z) = -2² + 3z – 2 at the point (2, 0)
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Q: 3. Find the slope m of the tangent lines to the parabola y = -x+ 5x+ 6t its point of intersection…
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Q: Find the slope of the tangent to the graph of fAx) = x + 3x + x at its point of inflection. O a) -3…
A: SOLUTION-
Q: Find the equation of the tangent to y = 1 + 2x + 3x*4 at the point with x -coordinate 1
A: Find the derivative of y = 1 + 2x + 3x4 y' = 2 = 12x3
Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6
A: Equation of line is given as y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…
Q: Find f (3) and f' (3), assuming that the tangent line to y = f (x) at a = 3 has equation y = 5x + 2.
A: Tangent to a function at a point is a line which just touches the graph of the function at that…
Q: f the line tangent to the graph of y =x* – 2x + 1 at x =-1
A: Idea: find the slope of tangent line by differentiation at x=-1 .then find the point on the curve.…
Q: 18. At what point on the graph of f(x) = 2xe" is the tangent parallel to the line with equation y=…
A: Since you have asked multiple questions in a single request so we will be answering only first…
Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…
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Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y =…
A: We find f'(x) first using quotient rule
Q: Find the equation of the tangent line to the graph of the function f (x) = 4xcosx + 3 at the point…
A: Given that: f(x)=4x.cosx+3 at point (0, 3)
Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π3
A: As we know that: The first derivative of the function is equal to the slope of the tangent line to…
Q: Write an equation of the tangent line to the graph of f(x) 3x at x = +1. %3D 1+2x2 For what value(s)…
A: Given that fx=3x21+2x2 Solution :fx=3x21+2x2f'x=6x1+2x2-4x3x21+2x22if…
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: find the equation of the tangent line at the given point x=2cost+3 y=3sint-2 at the point given by…
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Q: If y=mx+b is the equation of the tangent line to the graph of f(x)= x² - x at x= -1, then m=
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Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…
A: Topic:- application of derivatives and tangent equation
Q: Find a point on the curve y=x2−2x−3 at which the tangent is parallel to the x−axis.
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Q: (b) What is the equation of the tangent line for f(x) = x² – 1 at r = 4?
A: f(x) =x2-1
Q: Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent…
A: Given function is h(x) = -3x5-5x4+20x3+60x To find the largest slope of h(x) at the tangent…
Q: Find f(3) and f'(3), assuming that the tangent line to y = f(x) at a = 3 has equation y = 5x +2.
A: Consider the provided function, y=5x+2 Find the value of f3 and f'3 at a=3. y=5x+2 We can write…
Q: Find an equation of the tangent to the curve at the point comespohding to the given value ofthe…
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Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1
A: The given equation of curve is,
Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.
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Q: b) Determine the equation of the tangent line to the grap f(x) = 2x² – x + 5 at the point where x =…
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Q: Find the equation of the tangent line to the function f(x)=x3+3x2+x+4 at the point where x=−2. Give…
A: we have to find tangent line at x=-2given
Q: If y=mx+b is the equation of the tangent line to the graph of f(x) = X .2 - X at x= -1, then m= b3D
A: According to power rule of differentiation
Q: Find the equation of the tangent line to the function f(x)=−3x3−2x2−1 at the point where x=−1. Give…
A: we have to find tangent line to f(x) at x=-1
Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…
A: Let's find.
Q: i. Find the equation of the tangent to the graph of g at (4, 2).
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Q: What is the slope of the tangent line that touches the graph of In(y) +e2-1=3y – 4x at the point 3 A…
A: We have to choose the correct answer from the given information according to the given information
Q: Find the equation of the tangent line to f(x)=4x+x^−1/2+1 at the point (4,35/2)
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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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Q: 3. Determine the value of b if the slope of the tangent to f (x) = (3x² + 1)(2x² + b) at x = – 1 is…
A: The formula to find the slope of the tangent to the function f(x) is f'(x).
Q: The slope of the tangent line to the graph of the function y = 8/T- 4 at (16, 28) is O 4 O -1.75 O…
A: Slope : It is the Differentiation of y with respect to x at a given point.
Q: If an equation of the tangent line to the graph of y f(x) at x = 2 is y = 3x - 11, find f(2) and…
A: NOTE: Refresh your page if you can't see any equations. . the equation of the tangent line to the…
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