How do you differentiate f(x)=x2sinx using the quotient rule?

1 Answer
Apr 18, 2016

sinx(x2)cosxsin2x

Explanation:

differentiate using the quotient rule

If f(x) =g(x)h(x) then f'(x)=h(x).g'(x)g(x).h'(x)(h(x))2
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g(x) = x - 2 g'(x)=1

h(x) =sinxh'(x)=cosx
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substitute these values into f'(x)

f'(x)=sinx.1(x2)cosxsin2x