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Mathematics 8 Online
OpenStudy (lena772):

Find f'(2) when f(x)=g(x)h(x)

OpenStudy (perl):

you need more information, but f ' (x) = g'(x) * h(x) + g(x) * h'(x)

OpenStudy (lena772):

that's all it gives.

OpenStudy (lena772):

@ganeshie8

OpenStudy (perl):

f ' (2) = g'(2) * h(2) + g(2) * h'(2)

OpenStudy (ikram002p):

u dnt need a final answer just u need to know how to deffrentiate the multiple of two function.

OpenStudy (lena772):

Can you expand @ikram002p

OpenStudy (lena772):

@Hero

OpenStudy (agent0smith):

Do you know how to use the product rule to differentiate f(x)=g(x)h(x) ?

OpenStudy (lena772):

no

OpenStudy (lena772):

f'(x)=(h'(x))g(x)+h(x)g'(x)

OpenStudy (lena772):

is that right?

OpenStudy (agent0smith):

Yes.

OpenStudy (lena772):

how would i find f'(2) for that? just put it into where x is or do i have to expand?

OpenStudy (agent0smith):

Just plug in x=2.

OpenStudy (lena772):

f'(2)=(h'(2))g(2)+h(2)g'(2) my answer?

OpenStudy (agent0smith):

Yep

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