Solve y^4/-y

$$\frac { y ^ { 4 } } { - y }$$

Differentiate w.r.t. y

$$-3y^{2}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{-1}y^{4-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{3})$$

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}.

$$3\left(-1\right)y^{3-1}$$

Do the arithmetic.

$$-3y^{2}$$

Evaluate

$$-y^{3}$$