Question

2. Consider the following functions. Take their derivatives according to x. Show your work. a) $f(x) = \ln(3x^4 + 2^x)$ b) $f(x) = e^{5x^3 + x^{\frac{1}{3}}}$ c) $f(x) = x^3 \sqrt{x+2}$

          2.
Consider the following functions. Take their derivatives according to x. Show your work.
a) $f(x) = \ln(3x^4 + 2^x)$
b) $f(x) = e^{5x^3 + x^{\frac{1}{3}}}$
c) $f(x) = x^3 \sqrt{x+2}$

2.
Consider the following functions. Take their derivatives according to x. Show your work.
a) f(x) = ln(3x^4 + 2^x)
b) f(x) = e^5x^3 + x^(1)/(3)
c) f(x) = x^3 √(x+2)

Added by Adam W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

10/23/2023

Step 1

Step 1: For function a) f(x) = ln(3x^4 + 2^x), we will use the chain rule to find the derivative. Show more…

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2. Consider the following functions. Take their derivatives according to ( x ). Show your work. a) ( f(x)=ln left(3 x^{4}+2^{x} ight) ) b) ( f(x)=e^{5 x^{3}+x^{rac{1}{3}}} ) c) ( f(x)=x^{3} sqrt{x+2} ) 2. Consider the following functions.Take their derivatives according to x. Show your work. afx=1n3x+2 b)f(x)=esx++ cf(x=xx+2