How would you determine the derivative of \((3x+5)^5\)?
At this stage you may try multiplying out the brackets and then differentiating. However, expanding \((3x+5)^5\) can be a bit challenging. In this section we will be looking at an alternative called the CHAIN RULE. The 2 formats we will be looking at are:
\({d \over dx}[f(x)]^n=n[f(x)]^{n-1}f^{'}(x)\)
\({d\over dx}f[g(x)]=f'[g(x)]g^{'}(x)\)