Solve adiva*1/a

$$a \div a \times \frac { 1 } { a }$$

Evaluate

$$\frac{1}{a}$$

Solution Steps

Divide a by a to get 1.

$$1\times \frac{1}{a}$$

Express 1\times \frac{1}{a} as a single fraction.

$$\frac{1}{a}$$

Differentiate w.r.t. a

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

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a}{1}a^{-1-1})$$

Do the arithmetic.

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

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-2aa^{-2-1}$$

Do the arithmetic.

$$\left(-2a\right)a^{-3}$$