9.(iv)   Find the derivative of x ^5 ( 3 - 6 x ^{-9})

Answers (1)

Given

f(x)=x ^5 ( 3 - 6 x ^{-9})=3x^5-6x^{-4}

As we know, the property,

f'(x^n)=nx^{n-1}

and the property 

\frac{d(y_1+y_2)}{dx}=\frac{dy_1}{dx}+\frac{dy_2}{dx}

applying that property we get

f'(x)=(5)3x^4-6(-4)x^{-5}

f'(x)=15x^4+24x^{-5}

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