Thread: chain rule

I need some help to differentiate

Originally Posted by c_323_h

I need some help to differentiate

Let (1+4x)^5 =f(x)
and (3+x-x^2)=h(x)
Differentiation of g(x) = differentiation of f(x)h(x)
= [diff. of f(x)]*h(x) + [diff. of h(x)]*f(x)
diff. of f(x) = 5[(1+4x)^4]*4
diff. of h(x)= 8(3+x-x^2)^7{1-2x}

Hello, c_323_h!

Differentiate: 1+4x)^5(3+x-x^2)^8" alt="g(x) \:=\1+4x)^5(3+x-x^2)^8" />

Product Rule: .

Chain Rule: .

Factor: .

Simplify: .