Solve 2a*3a

$$2 a \cdot 3 a$$

Evaluate

$$6a^{2}$$

Solution Steps

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

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

Multiply 2 and 3 to get 6.

$$6a^{2}$$

Differentiate w.r.t. a

$$12a$$

Steps Using Definition of a Derivative

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

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

Multiply 2 and 3 to get 6.

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

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

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

Multiply 2 times 6.

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

Subtract 1 from 2.

$$12a^{1}$$

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

$$12a$$