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Exercise 22

Avg difficulty 2.5

Find the first derivative with respect to xx for each of the following functions and for each function find the equation of the tangent line at the stated value of xx. Make sure that you use appropriate techniques of differentiation.

h(x)=x1+x\fe{h}{x}=\dfrac{x}{1+x}; tangent line at −2-2

Simonds, Calculus Lab Manual, §5.12 Supplement, Exercise 22

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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.