Direction: Find the equation of the tangent line to the function at x=a. The slope m of the line tangent to a curve y=f(x) at point P[x.f(x)] is given by the equation. f(x+h) – f(x) m = lim h-0 h 3. y = V5x + 4 at x= 1
Q: (! , -m) Let f(x) = 40 – x² The slope of the tangent line to the graph of f(x) at the point (-6, 4)…
A: fx=40-x2 Hence, slope of line at (-6, 4) is limh→0f-6+h-f-6h =dfdxx=-6 = ddx40-x2x=-6 =…
Q: f(3) = -9 and f'(3) = 7 . Then the equation of the tangent line to the graph of y = f(x) at x = 3 is
A: Given Data: The value of function at x=3 is: f(3)=-9 The value of the derivative of the function at…
Q: Find the equation of the tangent line to the graph of f(x) = 9x - 2 8 e 4x at (0, – 4). The equation…
A: Find the derivative at that point and write the slope intercept form of equation of Tangent line.
Q: termine an equation for the line tangent to the graph of the given function at the indicated point 4…
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Q: Find the equation for the tangent to the curve at the given point. Find the equation of tangent to…
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Q: f(a + h) - f(a) a. Use the definition man = lim h-0 to find the slope of the line tangent to the…
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Q: (a) find the slope of the curve y=x^2-2x-5 at the point P(2,-5) by finding the limiting value of the…
A: (a) Given: y = x2 - 2x - 5 = f(x) and Point P(2, -5) Calculations: We have a slope of a secant line…
Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…
A: The solution is as follows below:
Q: Please show step-by-step solutions for the problems please!
A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…
Q: Determine the point(s), at which the graph of the function has a tangent line with the given slope.…
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Q: f(x) = 5x2 at (-2, 20).a. Find the slope of the tangent line to the graph of f at the given point.b.…
A: f(x) = 5x2
Q: tet f(r) = 25 The slope of the tangent line to the graph of f(z) at the point (-6,-) is s The…
A: Definition used - The slope of a tangent - m…
Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…
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Q: a. Graph the function f(x) = x2 - 8x + 12. b. Identify the point (a,f(a)) at which the function has…
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Q: (a) Find an equation of the tangent to the curve y = ex thatis parallel to the line x- 4y =1 .(b)…
A: given: the equation of the curve is y=ex. we have to find the equation of the tangent to the curve…
Q: Can i get help step by step please answer two order pairs
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Q: Find the slope mm of the tangent line to the parabola f(x)=x^2+7 the point (5, 60) by using the…
A: topic - equation of a tangent line
Q: (!..m) Let f(x) = 40 – x² The slope of the tangent line to the graph of f(x) — х2 - at the point…
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Q: can you help me step by step please
A: To determine the ordered pair (x ,y) where tangent line is horizontal to the graph of the function y…
Q: f(x) = 2x2 + 5x at (1, 7). Solve, a. Find the slope of the tangent line to the graph of f at the…
A: Derivative formula ddxxn=n xn-1Point slope formy-b=m(x-a)Where m is the slope and point is (a,b)
Q: If f(x) = 9x - x, find f'(1) and use it to find an equation of the tangent line to the curve y = 9x…
A: We have to find
Q: f(x)= -9/square root of 2x-1 Determine the point(s) at which the graph of has a horizontal tangent.
A: Given f(x) = -92x-1Derivative of f(x) , f'(x) = ddx-92x-1 f'(x) = -9…
Q: f(x) = x2 - 7x - 4 at (-1, 4).Solve,a. Find the slope of the tangent line to the graph of f at the…
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Q: (a) Find the slope of the tangent line to the parabola y = x + 7x at the point (-3, -12) by using…
A: Slope point form: Let P = (x1 , y1) Then equation of line is y -y1 = m(x -x1).
Q: Find the equation of the tangent line to the graph of f(x) = - 8 e 9x at (0,4). Зх - 2 The equation…
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Q: (a) Find the slope of the curve y = x - 2x - 5 at the point P(2, – 5) by finding the limit of the…
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Q: (a) (i) Find the equation of the tangent to the graph of f(x) = e² at x = 0. (ii) Show that the…
A: NOTE: As per our guidelines, I have solved three parts. If you want the answer of other, kindly post…
Q: Next Question Let f(x) = 1 and point P = 5+ 2x a. Use the following definition of the slope of the…
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Q: II. Directions: Find the slope of the line tangent to the given curve at the indicated point 10-12.…
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Q: (a) Find the slope of the tangent line to the parabola y = x2 + 7x at the point (-2, -10) by using…
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Q: f(x) = 3x? – 11æ – 7 ; a = 2 The slope of the tangent to the curve at a = 2 is
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Q: a) find the slope of the curve y=x^3-11x at the given point P(2,-14) by finding the limiting value…
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Q: (a) Find the slope of the curve y =x-4x-4 at the point P(3, - 7) by finding the limit of the secant…
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Q: (a) Find the slope of the curve y=x²-2x-2 at the point P(2-2) by finding the limit of the secant…
A: Here given curve y=x²-2x-2 Slope to the curve is m= limx->2(f(x)-f(2))/(x-2)…
Q: Let fx)= 5+2x and point P= a. Use the folloƠwing definition of the slope of the tangent line at x=a…
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Q: Find the point (x,y) at which the graph of y = 6x +3x-2 has a horizontal tangent line. The function…
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Q: (a) Find the slope of the curve y =x- 2x -3 at the point P(3,0) by finding the limit of the secant…
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Q: Find an equation of the tangent line to the graph of f(x) = -3-3x at (-3,- 30). %3! The equation of…
A: The given equations , f(x)=-3-3x2 we have to find the tangent at (-3,-30) another , f(x)=2x3 at…
Q: f(x) = 4x + 2 at (1, 6), Solve, a. Find the slope of the tangent line to the graph of f at the given…
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Q: Find an equation of the tangent line to the parabola y = 5x2 at the point P(2, 20) using this…
A: Explained below
Q: Consider the function g(x) = –2x+3 x + 1 17. 17a Determine the slope function g (x). gʻ(x) = (x+1)2…
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Q: (a) Find the slope of the tangent line to the parabola y = x2 + 8x at the point (-3, -15) by using…
A: The equation of the parabola:y = x2 + 8x The tangent is at a point, A(-3,-15)The slope of the…
Q: Consider the function y = B(x) such that B(24) = -2 and B'(24) = -1/4. a. Find the slope m of the…
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Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a…
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Q: f(x) = x2 - 7x - 4 at (-1, 4). Solve, a. Find the slope of the tangent line to the graph of f at the…
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Q: Compute f'(x). f(x)= 8x^-3 , a=5 f'(x)=____________ Find an equation of the tangent line…
A: We have: f(x) = 8x-3 We need to calculate the value of f'(x) using the formula: xn = nxn-1 Thus,…
Q: (a) Find the slope of the tangent line to the parabola y = x2 + 5x at the point (-1, -4) by using…
A: Given y = x2 +5x, -1,-4 y=fx , P a, fa
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Solved in 3 steps with 3 images
- A. Find the slope of the curve y=x2-2x-3 at the point P(2,-3) by finding the limiting value of the slope of the secant lines through point P. B. Find an equation of the tangent line to the curve at P(2,-3)3.4(3) With the function (shown in the image) A) Determines the slope of the tangent to the point where the abscissa is x = 2. B) Determines the equation of the tangent at the point whose abscissa is x = -3.(a) find the slope of the curve y=x^2-2x-5 at the point P(2,-5) by finding the limiting value of the slope fo the secant lines through point P. (b) find an equation of the tangent line to the curve at P(2,-5)
- Slope of a line tangent to f 1x2= 2x Estimate the slope of the line tangent to the graph of ƒ1x2= 2x at the point P10, 12.a) find the slope of the curve y=x^3-11x at the given point P(2,-14) by finding the limiting value of the slope of the secants through P. b) find an equation of the tangent line to the curve at P(2,-14)The Graph of the curve y=1+50sinx/(x2 +3) Looking at the graph, it’s clear that the function has three zeros in the domain -5 <= x <= 5. Find the three zeros, and find the slopes of the tangent lines to the curve at those x values.
- Write an expression for the slope of the tangent and normal lines to the curve y = f (x) at the point (a, f (a)) Find equations of the tangent and normal lines to the curve f(x) = (2x^2+1) / (1−3x) at the points with x-coordinates 0 and −1f(x) = x2 - 7x - 4 at (-1, 4).Solve,a. Find the slope of the tangent line to the graph of f at the given point.b. Find the slope-intercept equation of the tangent line to the graph of f at the given point.(a) find the slope of the curve y=x^3-8x at the given point P(2,-8) by finding the limiting value fo the slope of the secants through P. (b) find an equation of the tangent line to the curve at P(2,-8).
- A. Find the slope of the tangent line to the graph of f(x)=7x^2 at the point (3,63) B. Find the slope-intercept equation of the tangent line to the graph of f(x)=7x^2 at the point (3,63) A. What is the slope of the tangent line? Mtan =___ B. Complete the slope-intercept equation of the tangent line below? Y= ___(a) Find an equation of the tangent to the curve y=ex that is parallel to the line x-4y=1. (b) Find an equation of the tangent to the curve y=ex that passes through the origin.6. Find two points where the curve x^2+3xy+y^2=47 crosses the x-axis. The tangent lines to the curve at these points are parallel. b.What is the common slope of these tangents?