Solve 3ad/3add

$$\frac { 3 a d } { 3 a d d }$$

Evaluate

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

Solution Steps

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

$$\frac{3ad}{3ad^{2}}$$

Cancel out 3ad in both numerator and denominator.

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

Differentiate w.r.t. d

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

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}d}(\frac{3ad}{3ad^{2}})$$

Cancel out 3ad in both numerator and denominator.

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

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

$$-d^{-1-1}$$

Subtract 1 from -1.

$$-d^{-2}$$