Solve left|75right|x

$$\left| 75 \right| x$$

Differentiate w.r.t. x

$$75$$

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 75 is 75.

$$\frac{\mathrm{d}}{\mathrm{d}x}(75x)$$

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

$$75x^{1-1}$$

Subtract 1 from 1.

$$75x^{0}$$

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

$$75\times 1$$

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

$$75$$

Evaluate

$$75x$$

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 75 is 75.

$$75x$$