Question:

Use the substitution $\displaystyle u = 5x + 3$ to differentiate the following with respect to $\displaystyle x$.

$\displaystyle (a) y = (5x + 3)^6$

$\displaystyle (b) y = (5x + 3)^{\frac{1}{2}}$

$\displaystyle (c) y = \frac{1}{5x + 3}$

Can you please show be the steps for solving $\displaystyle (a)$ using the chain rule?