Solve 12abdiv(-4b)

$$12 a b \div ( - 4 b )$$

Evaluate

$$-3a$$

Solution Steps

Cancel out 4b in both numerator and denominator.

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

Anything divided by -1 gives its opposite.

$$-3a$$

Differentiate w.r.t. a

$$-3$$

Steps Using Definition of a Derivative

Cancel out 4b in both numerator and denominator.

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

Anything divided by -1 gives its opposite.

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

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

$$-3a^{1-1}$$

Subtract 1 from 1.

$$-3a^{0}$$

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

$$-3$$