Solve (-6y-3)+(5y+1)

$$(-6y-3)+(5y+1)$$

Evaluate

$$-y-2$$

Solution Steps

Combine -6y and 5y to get -y.

$$-y-3+1$$

Add -3 and 1 to get -2.

$$-y-2$$

Differentiate w.r.t. y

$$-1$$

Steps Using Derivative Rule for Sum

Combine -6y and 5y to get -y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y-3+1)$$

Add -3 and 1 to get -2.

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

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}.

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

Subtract 1 from 1.

$$-y^{0}$$

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

$$-1$$