For each function below, find the derivative f'

1. f(x)= (x+1)(x²+4x+2)
2. f(x)=cos(x)+sin(x)+tan(x)-cot(x)
3. f(x)=(x+1)e^{x^2+1}
4. f(x)=e^{x^2}ln(sin(x))

Let g,h, and k be differentiable functions. The function is:

5.f(x)=g(k(x))h(x)