- 345

- 200

**1. Homework Statement**

##f(x) = (5x+6)^{10} , f'(x)=?##

**2. Homework Equations**

##\frac{d}{dx}x^n = nx^{n-1}##?

3. The Attempt at a Solution

##\frac{d}{dx}x^n = nx^{n-1}##?

3. The Attempt at a Solution

I do know the solution ##f'(x) = 50(5x+6)^9##,but I don't know how this solution came to be.I downloaded this problem from the web and it only comes with the answer, not the process. First I thought that 50 comes from 10x5, but that was totally busted when I tested ##(4x+6)^{10}##, so I don't think this is power rule.

I also couldn't find things related to this in my textbook maybe because I don't know the keywords.