Solve s^3+2s^2+6

$$s ^ { 3 } + 2 s ^ { 2 } + 6$$

Differentiate w.r.t. s

$$s\left(3s+4\right)$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$3s^{3-1}+2\times 2s^{2-1}$$

Subtract 1 from 3.

$$3s^{2}+2\times 2s^{2-1}$$

Multiply 2 times 2.

$$3s^{2}+4s^{2-1}$$

Subtract 1 from 2.

$$3s^{2}+4s^{1}$$

For any term t, t^{1}=t.

$$3s^{2}+4s$$

Evaluate

$$s^{3}+2s^{2}+6$$