Compute following derivtives.a. y = f(x) = (In(x)) Int)hint u sin g log arithmicdifferentiation ) find f'( x5e2x_x²+1b. y =f(x)find f'(x)x3+2x²+4(2x²–3x+1)*(8&x+5) \, find f' ( x(4–3x¬x²)°= Inс.

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Answered: Compute following derivtives. a. y =…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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1. Consider the function f (x) 1 + 2Vx = (a) Find an expression for the first two derivatives of f(x), i.e. f'(x) and f"(x). Hint: Simplify your expression for f'(x) and f"(x) as much as possible by taking a common denominator. This will help with sections (b) and (c). (b) Using the results from part (a), write down the Taylor expansion of f(x) up to order n = 2 around the point xo = 1. Write the final result in the form a + bx + cx² for some constants a, b and c. (c) Use the results of part (a) to compute the derivative if t = Vx. Write the final result in terms of t only. dt
%ro lli. , N M 4 Y:£9 f(x) = sinx C Select the correct choice (find the *: = derivative of the function below) f'(x) 5/3 f(=) = (1 - + x4 %3D 2/3 (4a3 +) II
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Compute following derivtives. a. y = f(x) = (In(x))In(x) hint u sin g log arithmic differentiation ) find f'( x ). (). find f(x) (22-3x+1)*(&x+5Y° , find f' ( x ) (4–3x¬x²)° b. y =f(x) e2x_x²+1 x3+2x2+4 c. f(x) = In ( (2r²-3e+1)*&+5° с.

Compute following derivtives. a. y = f(x) = (In(x))In(x) hint u sin g log arithmic differentiation ) find f'( x ). (). find f(x) (22-3x+1)(&x+5Y° , find f' ( x ) (4–3x¬x²)° b. y =f(x) e2x_x²+1 x3+2x2+4 c. f(x) = In ( (2r²-3e+1)&+5° с.