Solve |20|x)^24

$$| 20 | x ) ^ { 24 }$$

Differentiate w.r.t. x

$$20$$

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 20 is 20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(20x)$$

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

$$20x^{1-1}$$

Subtract 1 from 1.

$$20x^{0}$$

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

$$20\times 1$$

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

$$20$$

Evaluate

$$20x$$

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 20 is 20.

$$20x$$