Solve -14x^3ydiv(xy)

$$-14 { x }^{ 3 } y \div (xy)$$

Differentiate w.r.t. x

$$-28x$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{14y}{y}\right)x^{3-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-14x^{2})$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2\left(-14\right)x^{2-1}$$

Do the arithmetic.

$$-28x^{1}$$

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

$$-28x$$

Evaluate

$$-14x^{2}$$

Solution Steps

Cancel out xy in both numerator and denominator.

$$-14x^{2}$$