1X = 3h. P(x) +g°(x), x= 2g.g*(x) Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x = 3.Find the derivatives with respect to x of the combinations below at the given values of x.f'(x)g'(x)f(x)g(x)233- 431- 53

In this question we have to find the value of derivative of function.

Answered: f'(x) g'(x) Suppose that functions f…

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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Solve for the derivative of the given functions using the Chain Ruleformula. Suppose f(x) = (sin(2x) + 1)7 .Find f′ (π/2) and f′(π). a.) What is the inner and the outer functions?b.) What is the derivative of the inner function?c.) What is the derivative of the outer function evaluated at the inner function?
1.find the derivative of In[In(Inx)] 2. find the derivative of e(2x+Inx)
II. Find the first derivative of y with respect to x (y') of the given function using rules for differentiation or by the formula. 3. y=u^2-1/u^2+1 ; u = ∛x^2+2
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1. Find the derivatives with respect to x for the function. 4x exponent 3 + 6xy exponent 3 + 3yx exponent 2 = 4x exponent 4 - 6y exponent 5 - 3x exponent 2 2. Solve Integral of root 1 + x exponent 2 x dx
(a) Find the derivative at x = −1. (b) Find the second derivative at x = −1. h(x) = 2x4 + 8x3 + 15x2 + 14x + 4
1. Determine the derivatives of the ff. functions and show solution
(a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this equation to obtain f' (x) + g' (x) = 0. This implies f'(x) = -g'(x). (b) f' (x) = 2 sin x cos x, and g'(x) = 2(cosx)(-sinx) = -2sin x cos x. So, f'(x) = -g'(x).
8.) FIND ALL DERIVATIVES OF y^(n) OF THE FUNCTION y = square root of (x+5).
Consider the function f(x)=ln (1+x2). a. Find all the critical values of f(x)=ln (1+x2). Using the first derivative test, identify the intervals of increase and intervals of decrease
Find the derivative of the function. y = sin−1(3x + 1) The function y = sin−1(3x + 1) is a composition, and so we must use the Chain Rule, given below, to find the derivative. d dx. [f(g(x))] = f '(g(x))g'(x) For the given function sin−1(3x + 1), the "inside" function is 3x + 1 and the "outside" function is f(x) =

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f'(x) g'(x) Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x = 3. Find the derivatives with respect to x of the combinations below at the given values of x. f(x) g(x) 3 3 - 4 5 3 - 5 3 3.