9.(ii)   Find the derivative of ( 5x^3 + 3x -1 ) ( x -1)

Answers (1)

Given.

f(x)=( 5x^3 + 3x -1 ) ( x -1)=5x^4+3x^2-x-5x^3-3x+1

f(x)=5x^4-5x^3+3x^2-4x+1

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(4)x^3-5(3)x^2+3(2)x-4+0

f'(x)=20x^3-15x^2+6x-4

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