Solve s+s+s+s-s

$$s + s + s + s - s$$

Evaluate

$$3s$$

Solution Steps

Combine s and s to get 2s.

$$2s+s+s-s$$

Combine 2s and s to get 3s.

$$3s+s-s$$

Combine 3s and s to get 4s.

$$4s-s$$

Combine 4s and -s to get 3s.

$$3s$$

Differentiate w.r.t. s

$$3$$

Steps Using Definition of a Derivative

Combine s and s to get 2s.

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

Combine 2s and s to get 3s.

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

Combine 3s and s to get 4s.

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

Combine 4s and -s to get 3s.

$$\frac{\mathrm{d}}{\mathrm{d}s}(3s)$$

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

$$3s^{1-1}$$

Subtract 1 from 1.

$$3s^{0}$$

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

$$3\times 1$$

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

$$3$$