Solve 2a*3/2a

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

Evaluate

$$3a^{2}$$

Solution Steps

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

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

Cancel out 2 and 2.

$$3a^{2}$$

Differentiate w.r.t. a

$$6a$$

Steps Using Definition of a Derivative

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

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

Cancel out 2 and 2.

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

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

$$2\times 3a^{2-1}$$

Multiply 2 times 3.

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

Subtract 1 from 2.

$$6a^{1}$$

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

$$6a$$