if y = (e^x)^7 find dy/dx
To solve the the problem we need to recognize what type of differentiation technique we shall be employing
y = (ex)7
the x unction which we are diferentiating is a power of an exponential function therefore we must employ a substituion method to solve this
if u = ex
therefore y = (u)7
dy/du = 7(u)6
we can say du/dx = ex
therefore dy/dx = dy/du * du/dx
dy/dx = 7(ex)6 * ex
dy/dx = 7(ex)6 * ex
dy/dx = 7(ex)7
GI
Answered by George I. • Further Mathematics tutor
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