Solve s|-0.8|?

$$s | - 0.8 | ?$$

Differentiate w.r.t. s

$$0.8$$

Steps Using Definition of a Derivative

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.8 is 0.8.

$$\frac{\mathrm{d}}{\mathrm{d}s}(s\times 0.8)$$

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

$$0.8s^{1-1}$$

Subtract 1 from 1.

$$0.8s^{0}$$

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

$$0.8\times 1$$

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

$$0.8$$

Evaluate

$$\frac{4s}{5}$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -0.8 is 0.8.

$$s\times 0.8$$