Browse Questions

# For some constants $a$ and $b$, find the derivative of  $(ax^2+b)^2$

Let $f(x) = (ax^2+b)^2$
$\Rightarrow f(x) =a^2x^4+2abx^2+b^2$
$\therefore f'(x) = \large\frac{d}{dx}$$(a^2x^4+2abx^2+b^2) =a^2\large\frac{d}{dx}$$(x^4)+2ab\large\frac{d}{dx}$$(x^2)+\large\frac{d}{dx}$$(b^2)$