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How do you use the chain rule to differentiate #y=(x+2)^4#?

1 Answer

Jan 14, 2018

#4(x+2)^3#

Explanation:

by chain rule, #d/dx(f(g(x)))=f'(g(x))*g'(x)#

for this problem,
#f(x)=x^4 and g(x)=x+2#
#f'(x)=4x^3 and g'(x)=1#

that means #d/dx(x+2)^4=4(x+2)^3*1=4(x+2)^3#

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