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How do you differentiate # y =(−7 x^2 − 5)^8 # using the chain rule?

1 Answer

Dec 13, 2015

#dy/dx = -112x(-7x^2-5)^7#

Explanation:

Applying the chain rule gives us

#dy/dx = d/dx(-7x^2 - 5)^8#

#=8(-7x^2-5)^7(d/dx(-7x^2-5))#

#= 8(-7x^2-5)^7(-14x)#

So

#dy/dx = -112x(-7x^2-5)^7#

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