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Back to The Chain Rule

Exercise 35

Avg difficulty 2.5

Find the first derivative with respect to xx of each of the following functions. In all cases, look for appropriate simplifications before taking the derivative. Please note that some of the functions will be simpler to differentiate if you first use the rules of logarithms to expand and simplify the logarithmic expression.

f(x)=exexx\fe{f}{x}=\dfrac{e^{xe^x}}{x}

Simonds, Calculus Lab Manual, §6.5 Supplement, Exercise 35

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Adapted from Calculus Lab Manual © 2012–2016 Portland Community College. Licensed under CC BY-SA 4.0. Source: Calculus Lab Manual. Imported at revision 3060f8e.