# How do I find the derivative of y=3x(6x-5x^2)?

Mar 18, 2018

$\frac{\mathrm{dy}}{\mathrm{dx}} = 36 x - 45 {x}^{2}$

#### Explanation:

$\text{differentiate using the "color(blue)"power rule}$

•color(white)(x)d/dx(ax^n)=nax^(n-1)

$y = 3 x \left(6 x - 5 {x}^{2}\right) = 18 {x}^{2} - 15 {x}^{3}$

$\Rightarrow \frac{\mathrm{dy}}{\mathrm{dx}} = 36 x - 45 {x}^{2}$