Find the slopem and an equation of the tangent line to the graph of the function f at the specified point. f(x) = : 2, x + 8 %3D m = y =

Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: For the function fo-4+53+ 445, find the slope of the tangent ine at N 2

A: The function is given by f(x) = 4x3+53x+445 To evaluate: The slope of the tangent line to the graph…

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: Find the equation for the tangent to the curve y= exp 5x] at the f(x) = exp [5x?] The equation for…

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Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 5 e* +12x;…

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Q: Find the coordinates of the point(s) at which the line tangent to the graph of the function f (z)…

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Q: Find an equation for the line tangent to the graph of 4x f(r) = I + 8| at the point (2, 0.8).

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Q: If f(x) = 9x^2 - x^3, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A: Consider the given curve fx=9x2-x3

Q: Find the equation of the tangent line to the function f(x) = 2a? form y = mx + b. x at the point…

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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: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 8 ex + 5x;…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: The tangent line is horizontal when the slope is equal to 0

Q: Compute the derivative pf the given function and find the equation of the line that is tangent to…

A:

Q: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x-axis ? OA…

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

Q: Find the equation for the tangent to the curve y = exp [6x] at the point (7, e 294). f(x) = exp…

A: given: the equation of the function is: y=e6x2 the given point is: 7,e294

Q: Find an equation for the line tangent to the graph of  F(x)=6xe^x at the point (a,f(a)) for a =3…

A:

Q: Let f(x) = 6x + 13 – 15e". Then the equation of the tangent line to the graph of f(x) at the point…

A: Since we have given f ( x ) = 6x + 13 - 15 ex   To Find: the equation of the tangent line to the…

Q: Given that f(2) = -5 and f'(2) = 3, find an equation for the tangent line to the graph of y = f(x)…

A: we have to find equation of tangent line

Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: For the function, find the point(s) on the graph at which the tangent line has slope 2. 1 y=x²-3x²…

A: Given y=13x3-3x2+7x+16 & m=2To find point on the graph: Rules of differentiation: (1)…

Q: Find the approximate value of second derivative f"(0) with the step h for the following function by…

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Q: f(x)3Darctanx What is the slope of the tangent line at x=V3? Write the answer as a decimal number.

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Q: If g(x) = 6 − x3, find g'(0) and use it to find an equation of the tangent line to the curve y = 6 −…

A: Given,

Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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Q: Let f(x) = 4x + 5 – 19e“. Then the equation of the tangent line to the graph of f(x) at the point…

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Q: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

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Q: Given that f(−6)=−6 and f′(−6)=−6, find an equation for the tangent line to the graph of y=f(x) at…

A: We know that slope of tangent line to the graph of y=f(x) at x=a is f'(a) Therefore, slope of…

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and…

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Q: Determine the point(s), if any, at which the graph of the function has a horizontal tangent line.…

A: Given y=x2+6xThe slope of the tangent line of a graph y=fx at  a point x0 is given by the derivative…

Q: If g(x) = 5 – x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 5 –…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

A:

Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 11 ex +…

A: Given, The equation of the curve fx = 11ex+5x We have to find the equation of the line tangent to…

Q: 4. 4. () = a北

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Q: For f(æ) = Væ+ 3, find ƒ '(æ) using the definition f'(x) = ļim f(z+h)-f(z)_ f '(x) =| Using this,…

A: Given:f(x)=x+3

Q: We are given f(x) = 9x2 and f '(x) = 18x. Find the slope of the tangent to the graph of  y = f(x) at…

A: Given,

Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A:

Q: Let f(x) = 8x + 10 – 3e². Then the equation of the tangent line to the graph of f(x) at the point…

A: The given function is: f(x)=8x+10-3ex

Q: EX Find the equation of the tangent Line to the curve y=x? at c 204)

A:

Q: Let f(x) = 6x + 9 – 17e". Then the equation of the tangent line to the graph of f(x) at the point…

A: A tangent is a line which just touches a curve and in some sense is parallel to the curve. The slope…

Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

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Q: ) Given that f(8) = 5 and f'(8) = 7 , find an equation for the tangent line to the graph of y = f(x)…

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Q: 5x- Find the equation of tangent to the graph of f(x) = at the point where the curve intersects the…

A: We find equation of tangent using application of derivatives

Q: Find an equation for the line tangent to the graph of at the point (a, f(a)) for a = = 2. y = f(x) =…

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Q: Find a function y = ax? + bx +c whose graph has an x-intercept of 1, a y-intercept of –3, and a…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…