Solve (-2y+6)+(y+4)

$$( - 2 y + 6 ) + ( y + 4 )$$

Evaluate

$$10-y$$

Solution Steps

Combine -2y and y to get -y.

$$-y+6+4$$

Add 6 and 4 to get 10.

$$-y+10$$

Differentiate w.r.t. y

$$-1$$

Steps Using Derivative Rule for Sum

Combine -2y and y to get -y.

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

Add 6 and 4 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y+10)$$

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}.

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

Subtract 1 from 1.

$$-y^{0}$$

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

$$-1$$