Solve 7a*8a

$$7 a \times 8 a$$

Evaluate

$$56a^{2}$$

Solution Steps

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

$$7a^{2}\times 8$$

Multiply 7 and 8 to get 56.

$$56a^{2}$$

Differentiate w.r.t. a

$$112a$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(7a^{2}\times 8)$$

Multiply 7 and 8 to get 56.

$$\frac{\mathrm{d}}{\mathrm{d}a}(56a^{2})$$

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

$$2\times 56a^{2-1}$$

Multiply 2 times 56.

$$112a^{2-1}$$

Subtract 1 from 2.

$$112a^{1}$$

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

$$112a$$