Solve a*12a*4.4

$$a \times 12 a \times 4.4$$

Evaluate

$$\frac{264a^{2}}{5}$$

Solution Steps

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

$$a^{2}\times 12\times 4.4$$

Multiply 12 and 4.4 to get 52.8.

$$a^{2}\times 52.8$$

Differentiate w.r.t. a

$$\frac{528a}{5}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}\times 12\times 4.4)$$

Multiply 12 and 4.4 to get 52.8.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}\times 52.8)$$

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

$$2\times 52.8a^{2-1}$$

Multiply 2 times 52.8.

$$105.6a^{2-1}$$

Subtract 1 from 2.

$$105.6a^{1}$$

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

$$105.6a$$