Consider the function y f (x) = x+ Vx and the x-value xo = 64. (a) Find a formula for the slope of the tangent line to the graph of %3D f at a general point x = x0- mtan %3D Use the formula obtained in part (a) to find the (b) slope of the tangent line for the given value of xo. Enter the exact answer. mtan %3D

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Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

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Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).

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A: We first have to find y'We apply exponent rule and chain rule.y'= 8(e^(4x))*(e^(4x)) -4)

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A: The required equation of the tangent line to the graph is y = -36x + 1

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A: Explanation of the answer is as follows

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x? –…

A: Given:    y=4-x2-ln12x+1 at (0,4)   We are given that x0=0   The value of function at given point…

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Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D

A: The solution of the problem is given in the next step.

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

A: Explanation: To find the slope of tangent line, we will find the first derivative of given function…

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A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION SO, I HAVE ANSWERED FIRST ONE FOR YOU…

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A: Given:f(x)=5x(1+x2) Formula: ddxf(x)g(x)=g (x)f'(x)-f(x)g'(x)g(x)2

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Q: a)find an equation for the tangent line drawn to the graph of f(x)=1/x at x=2. b)Find the exact…

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A: Given: y=2-x  ,-1,2

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A: we have to find the slope m and also the equation of the tangent

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -4 and g'(2) = 5.…

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Q: Find an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

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A: Given,     f(x) = ln(9(x+4)/x); (-9/2,0) Let m be the slope of required tangent line.

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Q: (a) If F(x) = 5x/(1 + x²), find F'(2) and use it to find an equation of the tangent line to the…

A: Consider the given function as y=5x1+x2