Solve f*(2)^3

$$f \times ( 2 ) ^ { 3 }$$

Differentiate w.r.t. f

$$8$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 3 and get 8.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times 8)$$

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

$$8f^{1-1}$$

Subtract 1 from 1.

$$8f^{0}$$

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

$$8\times 1$$

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

$$8$$

Evaluate

$$8f$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$f\times 8$$