Solve 2+9s-2-5s

$$2 + 9 s - 2 - 5 s$$

Evaluate

$$4s$$

Solution Steps

Subtract 2 from 2 to get 0.

$$9s-5s$$

Combine 9s and -5s to get 4s.

$$4s$$

Differentiate w.r.t. s

$$4$$

Steps Using Definition of a Derivative

Subtract 2 from 2 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}s}(9s-5s)$$

Combine 9s and -5s to get 4s.

$$\frac{\mathrm{d}}{\mathrm{d}s}(4s)$$

The derivative of ax^{n} is nax^{n-1}.

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

Subtract 1 from 1.

$$4s^{0}$$

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

$$4\times 1$$

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

$$4$$