Solve 2x-6y-2x-3y-5y

$$2 x - 6 y - 2 x - 3 y - 5 y$$

Evaluate

$$-14y$$

Solution Steps

Combine 2x and -2x to get 0.

$$-6y-3y-5y$$

Combine -6y and -3y to get -9y.

$$-9y-5y$$

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

$$-14y$$

Differentiate w.r.t. y

$$-14$$

Steps Using Definition of a Derivative

Combine 2x and -2x to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-6y-3y-5y)$$

Combine -6y and -3y to get -9y.

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

Combine -9y and -5y 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.

$$-14$$