Solve 3a*4a*2=

$$3 a \cdot 4 a \cdot 2 =$$

Evaluate

$$24a^{2}$$

Solution Steps

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

$$3a^{2}\times 4\times 2$$

Multiply 3 and 4 to get 12.

$$12a^{2}\times 2$$

Multiply 12 and 2 to get 24.

$$24a^{2}$$

Differentiate w.r.t. a

$$48a$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(3a^{2}\times 4\times 2)$$

Multiply 3 and 4 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}a}(12a^{2}\times 2)$$

Multiply 12 and 2 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}a}(24a^{2})$$

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

$$2\times 24a^{2-1}$$

Multiply 2 times 24.

$$48a^{2-1}$$

Subtract 1 from 2.

$$48a^{1}$$

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

$$48a$$