Solve 5a*a*8

$$5 a \cdot a \cdot 8$$

Evaluate

$$40a^{2}$$

Solution Steps

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

$$5a^{2}\times 8$$

Multiply 5 and 8 to get 40.

$$40a^{2}$$

Differentiate w.r.t. a

$$80a$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(5a^{2}\times 8)$$

Multiply 5 and 8 to get 40.

$$\frac{\mathrm{d}}{\mathrm{d}a}(40a^{2})$$

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

$$2\times 40a^{2-1}$$

Multiply 2 times 40.

$$80a^{2-1}$$

Subtract 1 from 2.

$$80a^{1}$$

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

$$80a$$