can you help me with my homework? please show work so that i can follow along, thank you!

In this problem, we walk through a "Chain Rule" derivative. First, the chain rule is defined as follows: dxd[(f(g(x))]=f(g(x)). Using this rule, we will evaluate the following derivative: dxd[sin(8x2+5x)] First, we determine our two functions whose composition make up the function we want to take the derivative of. f(x)=sin(x) g(x)= Therefore, we get derivatives: f(x)= g(x)= So, we get dxd[sin(8x2+5x)]