Solve -6s+7s-3+2

$$- 6 s + 7 s - 3 + 2$$

Evaluate

$$s-1$$

Solution Steps

Combine -6s and 7s to get s.

$$s-3+2$$

Add -3 and 2 to get -1.

$$s-1$$

Differentiate w.r.t. s

$$1$$

Steps Using Derivative Rule for Sum

Combine -6s and 7s to get s.

$$\frac{\mathrm{d}}{\mathrm{d}s}(s-3+2)$$

Add -3 and 2 to get -1.

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

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}.

$$s^{1-1}$$

Subtract 1 from 1.

$$s^{0}$$

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

$$1$$