6. Find f′(−2) given the following:
g(−2)=−3 and g′(−2)=5 h(−2)=1 and h′(−2)=−4
f(x)=(g(x))2h(x)
Answer is: option2
Solution:
f′(x)=(g(x))2h′(x)+h(x)[2g(x)g′(x)]
f′(−2)=(g(−2))2h′(−2)+h(−2)[2g(−2)g′(−2)]
f′(−2)=(−3)2(−4)+(1)⋅(2⋅(−3)⋅(−5))
f′(−2)=−36−30
f′(−2)=−66Ans
