Solve (a*(-7))*(a*(-9))

$$( a \times ( - 7 ) ) \times ( a \times ( - 9 ) )$$

Evaluate

$$63a^{2}$$

Solution Steps

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

$$a^{2}\left(-7\right)\left(-9\right)$$

Multiply -7 and -9 to get 63.

$$a^{2}\times 63$$

Differentiate w.r.t. a

$$126a$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}\left(-7\right)\left(-9\right))$$

Multiply -7 and -9 to get 63.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}\times 63)$$

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

$$2\times 63a^{2-1}$$

Multiply 2 times 63.

$$126a^{2-1}$$

Subtract 1 from 2.

$$126a^{1}$$

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

$$126a$$