Solve 2f*2f

$$2 f \cdot 2 f$$

Evaluate

$$4f^{2}$$

Solution Steps

Multiply f and f to get f^{2}.

$$2f^{2}\times 2$$

Multiply 2 and 2 to get 4.

$$4f^{2}$$

Differentiate w.r.t. f

$$8f$$

Steps Using Definition of a Derivative

Multiply f and f to get f^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}f}(2f^{2}\times 2)$$

Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}f}(4f^{2})$$

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

$$2\times 4f^{2-1}$$

Multiply 2 times 4.

$$8f^{2-1}$$

Subtract 1 from 2.

$$8f^{1}$$

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

$$8f$$