Solve f(1/4)^-2=

$$f ( \frac { 1 } { 4 } ) ^ { - 2 } =$$

Differentiate w.r.t. f

$$16$$

Steps Using Definition of a Derivative

Calculate \frac{1}{4} to the power of -2 and get 16.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times 16)$$

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

$$16f^{1-1}$$

Subtract 1 from 1.

$$16f^{0}$$

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

$$16\times 1$$

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

$$16$$

Evaluate

$$16f$$

Solution Steps

Calculate \frac{1}{4} to the power of -2 and get 16.

$$f\times 16$$