# How do you differentiate f(x) = (2x+1)^7 using the chain rule?

Nov 2, 2015

You can do it like this:

#### Explanation:

$f \left(x\right) = {\left(2 x + 1\right)}^{7}$

Treat $\left(2 x + 1\right)$ as it were a single function. Differentiate that and then multiply by the differential of $\left(2 x + 1\right) \Rightarrow$

$f ' \left(x\right) = 7 {\left(2 x + 1\right)}^{6} \times 2$

$f ' \left(x\right) = 14 {\left(2 x + 1\right)}^{6}$