Solve 8abcdiv(-4ac)

$$8 a b c \div ( - 4 a c )$$

Evaluate

$$-2b$$

Solution Steps

Cancel out 4ac in both numerator and denominator.

$$\frac{2b}{-1}$$

Anything divided by -1 gives its opposite.

$$-2b$$

Differentiate w.r.t. b

$$-2$$

Steps Using Definition of a Derivative

Cancel out 4ac in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{2b}{-1})$$

Anything divided by -1 gives its opposite.

$$\frac{\mathrm{d}}{\mathrm{d}b}(-2b)$$

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

$$-2b^{1-1}$$

Subtract 1 from 1.

$$-2b^{0}$$

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

$$-2$$