Solve f(9(8))=

$$f ( 9 ( 8 ) ) =$$

Differentiate w.r.t. f

$$72$$

Steps Using Definition of a Derivative

Multiply 9 and 8 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times 72)$$

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

$$72f^{1-1}$$

Subtract 1 from 1.

$$72f^{0}$$

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

$$72\times 1$$

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

$$72$$

Evaluate

$$72f$$

Solution Steps

Multiply 9 and 8 to get 72.

$$f\times 72$$