what is the answer

Question

A cost function is given for a certain product. Find the marginal cost function.

C(x)=2000+3x+0.01x2+0.0002x3

Answer 1

Just use the power rule for the derivatives: when f(x) = axⁿ, df/dx = anx^n-1. The marginal cost function is dC(x) /dx = 3 + 0.02 x + 0.0006 x² (the first term 2000 dropped out because the slope of a constant value is zero).