Question

Dy/dxif y = 4x3 + 3x2 + 2

Answer 1

The function is 

                                $\displaystyle{ y=4x^3+3x^2+2$.

We recall that the derivative of each monomial $ax^b$ is $a\cdot b\cdot x^{b-1}$, and the derivative of a constant (function) is 0.

According to this:

$\frac{d}{dx}(4x^3+3x^2+2)=4\cdot 3\cdot x^2 + 3\cdot 2\cdot x+0 =12x^2+6x$.


Answer: $12x^2+6x$