Solve 6a2a/3

$$6a \frac{ 2a }{ 3 }$$

Evaluate

$$4a^{2}$$

Solution Steps

Cancel out 3, the greatest common factor in 6 and 3.

$$2\times 2aa$$

Multiply 2 and 2 to get 4.

$$4aa$$

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

$$4a^{2}$$

Differentiate w.r.t. a

$$8a$$

Steps Using Definition of a Derivative

Cancel out 3, the greatest common factor in 6 and 3.

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

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

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

Multiply 2 and 2 to get 4.

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

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

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

Multiply 2 times 4.

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

Subtract 1 from 2.

$$8a^{1}$$

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

$$8a$$