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  • 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): px + q r / x + s

3.  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): \left(px + q\right) \left ( \frac{r}{x}+ s \right )

Answers (1)

best_answer

Given

f(x)=\left(px + q\right) \left ( \frac{r}{x}+ s \right )

f(x)=pr+psx+\frac{qr}{x}+qs

As we know, the property,

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

applying that property we get 

f'(x)=0 + ps +\frac{-qr}{x^2}+0

f'(x)=ps + q \left ( \frac{-r}{x^2} \right )

f'(x)=ps - \left ( \frac{qr}{x^2} \right )

Posted by

Pankaj Sanodiya

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