Solve -5y+y+4-3y-2=

$$- 5 y + y + 4 - 3 y - 2 =$$

Evaluate

$$2-7y$$

Solution Steps

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

$$-4y+4-3y-2$$

Combine -4y and -3y to get -7y.

$$-7y+4-2$$

Subtract 2 from 4 to get 2.

$$-7y+2$$

Differentiate w.r.t. y

$$-7$$

Steps Using Derivative Rule for Sum

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(-4y+4-3y-2)$$

Combine -4y and -3y to get -7y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-7y+4-2)$$

Subtract 2 from 4 to get 2.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-7y+2)$$

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}.

$$-7y^{1-1}$$

Subtract 1 from 1.

$$-7y^{0}$$

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

$$-7$$