Solve -3y+-2y+-9y=

$$-3y+-2y+-9y=$$

Evaluate

$$-14y$$

Solution Steps

Combine -3y and -2y to get -5y.

$$-5y-9y$$

Combine -5y and -9y to get -14y.

$$-14y$$

Differentiate w.r.t. y

$$-14$$

Steps Using Definition of a Derivative

Combine -3y and -2y to get -5y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-5y-9y)$$

Combine -5y and -9y to get -14y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-14y)$$

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

$$-14y^{1-1}$$

Subtract 1 from 1.

$$-14y^{0}$$

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

$$-14$$