Solve 6a*69a

$$6 a \times 69 a$$

Evaluate

$$414a^{2}$$

Solution Steps

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

$$6a^{2}\times 69$$

Multiply 6 and 69 to get 414.

$$414a^{2}$$

Differentiate w.r.t. a

$$828a$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(6a^{2}\times 69)$$

Multiply 6 and 69 to get 414.

$$\frac{\mathrm{d}}{\mathrm{d}a}(414a^{2})$$

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

$$2\times 414a^{2-1}$$

Multiply 2 times 414.

$$828a^{2-1}$$

Subtract 1 from 2.

$$828a^{1}$$

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

$$828a$$