Solve -27xydiv(-9y)

$$- 27 x y \div ( - 9 y )$$

Evaluate

$$3x$$

Solution Steps

Cancel out 9y in both numerator and denominator.

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

Anything divided by -1 gives its opposite.

$$3x$$

Differentiate w.r.t. x

$$3$$

Steps Using Definition of a Derivative

Cancel out 9y in both numerator and denominator.

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

Anything divided by -1 gives its opposite.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x)$$

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

$$3x^{1-1}$$

Subtract 1 from 1.

$$3x^{0}$$

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

$$3\times 1$$

For any term t, t\times 1=t and 1t=t.

$$3$$