Differentiating the function 
`y(x) = x^3 + 2x^2 + 4`
yields the result
`y'(x) = 3x^2 + 4x`

Obtaining the derivative of this polynomial is a matter of differentiating each term separately.`x^3` and `2x^2` become `3x^2` and `4x` respectively by multiplying the number by its exponent, and then decreasing the exponent by one. Constants disappear in derivation, so the `4` becomes `0`. Each separate term is then added together to obtain the final result.
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