math derivative question(3)

2008-11-20 12:14 am
know that f(1)=3, f'(1)= -4 及g(x)=(x^2)(f(x))

find g'(1)

回答 (1)

2008-11-20 12:24 am
✔ 最佳答案
g(x)=(x^2)(f(x))
g'(x)=(2x)(f(x))+(x^2)(f'(x))

g'(1)=(2)(f(1))+(f'(1))=2*3+(-4)=2


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