# How do you differentiate #3/4x^-(4/5)+3x^-pi#?

##### 1 Answer

Sep 6, 2016

#### Explanation:

Here, we will be using the power rule. The power rule states that

Thus, taking the derivative of each part, we see that the function's derivative is:

#d/dx(3/4x^(-4/5))+d/dx(3x^(-pi))#

#=3/4(-4/5)x^(-4/5-1)+3(-pi)x^(-pi-1)#

#=-3/5x^(-9/5)-3pix^(-pi-1)#