Solve 2v*3v

$$2 v \cdot 3 v$$

Evaluate

$$6v^{2}$$

Solution Steps

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

$$2v^{2}\times 3$$

Multiply 2 and 3 to get 6.

$$6v^{2}$$

Differentiate w.r.t. v

$$12v$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}v}(2v^{2}\times 3)$$

Multiply 2 and 3 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}v}(6v^{2})$$

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

$$2\times 6v^{2-1}$$

Multiply 2 times 6.

$$12v^{2-1}$$

Subtract 1 from 2.

$$12v^{1}$$

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

$$12v$$