Solve 12.5f7.50

$$12.5f7.50$$

Differentiate w.r.t. f_7

$$6.25$$

Steps Using Definition of a Derivative

Multiply 12.5 and 0.5 to get 6.25.

$$\frac{\mathrm{d}}{\mathrm{d}f_{7}}(6.25f_{7})$$

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

$$6.25f_{7}^{1-1}$$

Subtract 1 from 1.

$$6.25f_{7}^{0}$$

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

$$6.25\times 1$$

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

$$6.25$$

Evaluate

$$\frac{25f_{7}}{4}$$

Solution Steps

Multiply 12.5 and 0.5 to get 6.25.

$$6.25f_{7}$$