Solve G|quad3|*25

$$G | \quad 3 | \times 25$$

Evaluate

$$75G$$

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 3 is 3.

$$G\times 3\times 25$$

Multiply 3 and 25 to get 75.

$$G\times 75$$

Differentiate w.r.t. G

$$75$$

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 3 is 3.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times 3\times 25)$$

Multiply 3 and 25 to get 75.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times 75)$$

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

$$75G^{1-1}$$

Subtract 1 from 1.

$$75G^{0}$$

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

$$75\times 1$$

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

$$75$$