Solve 3ab/-a=

$$\frac { 3 a b } { - a } =$$

Evaluate

$$-3b$$

Solution Steps

Cancel out a in both numerator and denominator.

$$\frac{3b}{-1}$$

Anything divided by -1 gives its opposite.

$$-3b$$

Differentiate w.r.t. b

$$-3$$

Steps Using Definition of a Derivative

Cancel out a in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{3b}{-1})$$

Anything divided by -1 gives its opposite.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-3b)$$

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

$$-3b^{1-1}$$

Subtract 1 from 1.

$$-3b^{0}$$

For any term t except 0, t^{0}=1.

$$-3$$