Solve -(6y^4):(2y^2)

$$- ( 6 y ^ { 4 } ) : ( 2 y ^ { 2 } )$$

Evaluate

$$-3y^{2}$$

Solution Steps

Multiply -1 and 6 to get -6.

$$\frac{-6y^{4}}{2y^{2}}$$

Cancel out 2y^{2} in both numerator and denominator.

$$-3y^{2}$$

Differentiate w.r.t. y

$$-6y$$

Steps Using Definition of a Derivative

Multiply -1 and 6 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{-6y^{4}}{2y^{2}})$$

Cancel out 2y^{2} in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-3y^{2})$$

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

$$2\left(-3\right)y^{2-1}$$

Multiply 2 times -3.

$$-6y^{2-1}$$

Subtract 1 from 2.

$$-6y^{1}$$

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

$$-6y$$