# How do you find the derivative of  f(x) = -2x^2.5 + 8x^5?

Jul 19, 2017

$f ' \left(x\right) = - 5 {x}^{1.5} + 40 {x}^{4}$

#### Explanation:

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

•color(white)(x)d/dx(ax^n)=nax^(n-1)

$f \left(x\right) = - 3 {x}^{2.5} + 8 {x}^{5}$

$\Rightarrow f ' \left(x\right) = - 5 {x}^{1.5} + 40 {x}^{4}$