Solve 25a*4a

$$25 a \times 4 a$$

Evaluate

$$100a^{2}$$

Solution Steps

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

$$25a^{2}\times 4$$

Multiply 25 and 4 to get 100.

$$100a^{2}$$

Differentiate w.r.t. a

$$200a$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(25a^{2}\times 4)$$

Multiply 25 and 4 to get 100.

$$\frac{\mathrm{d}}{\mathrm{d}a}(100a^{2})$$

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

$$2\times 100a^{2-1}$$

Multiply 2 times 100.

$$200a^{2-1}$$

Subtract 1 from 2.

$$200a^{1}$$

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

$$200a$$