10.  Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

        \frac{a}{x^4} - \frac{b}{x^2 } + \cos x

Answers (1)

Given

f(x)=\frac{a}{x^4} - \frac{b}{x^2 } + \cos x

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)=\frac{-4a}{x^5} - (\frac{-2b}{x^3 }) +( -\sin x)

f'(x)=\frac{-4a}{x^5} +\frac{2b}{x^3 } -\sin x

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