Solve 004-a^2

$$004 - a ^ { 2 }$$

Evaluate

$$-a^{2}$$

Solution Steps

Multiply 0 and 0 to get 0.

$$0\times 4-a^{2}$$

Multiply 0 and 4 to get 0.

$$0-a^{2}$$

Anything plus zero gives itself.

$$-a^{2}$$

Differentiate w.r.t. a

$$-2a$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}a}(0\times 4-a^{2})$$

Multiply 0 and 4 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}a}(0-a^{2})$$

Anything plus zero gives itself.

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

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

$$2\left(-1\right)a^{2-1}$$

Multiply 2 times -1.

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

Subtract 1 from 2.

$$-2a^{1}$$

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

$$-2a$$