Solve (4s-9)+(8-2s)

$$( 4 s - 9 ) + ( 8 - 2 s )$$

Evaluate

$$2s-1$$

Solution Steps

Add -9 and 8 to get -1.

$$4s-1-2s$$

Combine 4s and -2s to get 2s.

$$2s-1$$

Differentiate w.r.t. s

$$2$$

Steps Using Derivative Rule for Sum

Add -9 and 8 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}s}(4s-1-2s)$$

Combine 4s and -2s to get 2s.

$$\frac{\mathrm{d}}{\mathrm{d}s}(2s-1)$$

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}.

$$2s^{1-1}$$

Subtract 1 from 1.

$$2s^{0}$$

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

$$2\times 1$$

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

$$2$$