Solve -12*(-5/4)f

$$- 12 \cdot ( - \frac { 5 } { 4 } ) f$$

Evaluate

$$15f$$

Solution Steps

Express -12\left(-\frac{5}{4}\right) as a single fraction.

$$\frac{-12\left(-5\right)}{4}f$$

Multiply -12 and -5 to get 60.

$$\frac{60}{4}f$$

Divide 60 by 4 to get 15.

$$15f$$

Differentiate w.r.t. f

$$15$$

Steps Using Definition of a Derivative

Express -12\left(-\frac{5}{4}\right) as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}f}(\frac{-12\left(-5\right)}{4}f)$$

Multiply -12 and -5 to get 60.

$$\frac{\mathrm{d}}{\mathrm{d}f}(\frac{60}{4}f)$$

Divide 60 by 4 to get 15.

$$\frac{\mathrm{d}}{\mathrm{d}f}(15f)$$

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

$$15f^{1-1}$$

Subtract 1 from 1.

$$15f^{0}$$

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

$$15\times 1$$

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

$$15$$