Solve 2y+3y-9y

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

Evaluate

$$-4y$$

Solution Steps

Combine 2y and 3y to get 5y.

$$5y-9y$$

Combine 5y and -9y to get -4y.

$$-4y$$

Differentiate w.r.t. y

$$-4$$

Steps Using Definition of a Derivative

Combine 2y and 3y to get 5y.

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

Combine 5y and -9y to get -4y.

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

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

$$-4y^{1-1}$$

Subtract 1 from 1.

$$-4y^{0}$$

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

$$-4$$