Solve f(1)2^2

$$f ( 1 ) 2 ^ { 2 }$$

Evaluate

$$4f$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$f\times 1\times 4$$

Multiply 1 and 4 to get 4.

$$f\times 4$$

Differentiate w.r.t. f

$$4$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f\times 1\times 4)$$

Multiply 1 and 4 to get 4.

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

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

$$4f^{1-1}$$

Subtract 1 from 1.

$$4f^{0}$$

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

$$4\times 1$$

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

$$4$$