Find the derivative of the following functions: (Do not simplify) A.f(z) =E B. g (포) %3Dz In(5x? +9) C.h (t) = (e +e) D. f (2) = ((z +1)* – 1)" E. f (x) = Vr - F. g (x) = (x* +3) (-42+5a +5)

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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Find the derivative of the following functions: (Do not simplify)

A. \( f(x) = \frac{x}{x^2 + \sqrt{3x}} \)

B. \( g(x) = x \ln(5x^2 + 9) \)

C. \( h(t) = \left( e^{2t} + e \right)^{\frac{1}{2}} \)

D. \( f(x) = \left( (x + 1)^6 - 1 \right)^4 \)

E. \( f(x) = \frac{\sqrt[3]{x^2} - \frac{1}{\sqrt[3]{x}}}{\sqrt[3]{x}} \)

F. \( g(x) = (x^4 + 3)\left(-4x^5 + 5x^4 + 5\right) \)
Transcribed Image Text:Find the derivative of the following functions: (Do not simplify) A. \( f(x) = \frac{x}{x^2 + \sqrt{3x}} \) B. \( g(x) = x \ln(5x^2 + 9) \) C. \( h(t) = \left( e^{2t} + e \right)^{\frac{1}{2}} \) D. \( f(x) = \left( (x + 1)^6 - 1 \right)^4 \) E. \( f(x) = \frac{\sqrt[3]{x^2} - \frac{1}{\sqrt[3]{x}}}{\sqrt[3]{x}} \) F. \( g(x) = (x^4 + 3)\left(-4x^5 + 5x^4 + 5\right) \)
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