# How do you find the derivative of #y=(1/3) ((x^2)+2)^(3/2)#?

##### 1 Answer

Nov 27, 2016

#### Answer:

#### Explanation:

Rewriting slightly:

#y=1/3(x^2+2)^(3/2)#

Notice that

So, we see that:

#dy/dx=1/3(3/2(x^2+2)^(1/2))*d/dx(x^2+2)#

The power rule tells us that the derivative of

#dy/dx=1/3(3/2)(2x)(x^2+2)^(1/2)#

Simplifying:

#dy/dx=xsqrt(x^2+2)#