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Exercise 4

Avg difficulty 2.5

Apply the constant factor and power rules of differentiation to find the first derivative of each of the following functions. In each case take the derivative with respect to the independent variable suggested by the expression on the right side of the equal sign. Make sure that you assign the proper name to the derivative function. Please note that there is no need to employ either the quotient rule or the product rule to find any of these derivative formulas.

z(α)=eαπ\fe{z}{\alpha}=e\alpha^{\pi}

Simonds, Calculus Lab Manual, §5.12 Supplement, Exercise 4

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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.