Solve d/d1/d

$$\frac { d } { d } \frac { 1 } { d }$$

Evaluate

$$\frac{1}{d}$$

Solution Steps

Divide d by d to get 1.

$$1\times \frac{1}{d}$$

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

$$\frac{1}{d}$$

Differentiate w.r.t. d

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

Solution Steps

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

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

Do the arithmetic.

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

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}.

$$-2dd^{-2-1}$$

Do the arithmetic.

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