Mathematics for business

1. Find the derivatives of the following functions.
(a) f(x)= 4x^3 +30x^2+12x+6000
(b) g(x)=√x (x^2-1)^3
(c) h(x)=√(3x+2)/4x-3
(d) k(x)=1n x/x+1

2. Evaluate the following intergrals.
(a) ∫4e^2x/e^2x-3 dx