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Solution assignment 12 Chain rule

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Assignment 12

Differentiate:

y=a^{3x^2+2}, a>0

Solution

Applying the informal chain rule yields (the 'quote' means: the derivative of):

y'=a^{3x^2+2}\ln(a)cdot(3x^2+2)'=6\cdot{a^{3x^2+2}}\ln(a)

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