Solve =-9+8s-2s^2

$$= - 9 + 8 s - 2 s ^ { 2 }$$

Differentiate w.r.t. s

$$8-4s$$

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}.

$$8s^{1-1}+2\left(-2\right)s^{2-1}$$

Subtract 1 from 1.

$$8s^{0}+2\left(-2\right)s^{2-1}$$

Multiply 2 times -2.

$$8s^{0}-4s^{2-1}$$

Subtract 1 from 2.

$$8s^{0}-4s^{1}$$

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

$$8s^{0}-4s$$

For any term t except 0, t^{0}=1.

$$8\times 1-4s$$

For any term t, t\times 1=t and 1t=t.

$$8-4s$$

Evaluate

$$-2s^{2}+8s-9$$