Solve 7y+6-8y

$$7 y + 6 - 8 y$$

Differentiate w.r.t. y

$$-1$$

Steps Using Derivative Rule for Sum

Combine 7y and -8y to get -y.

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

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.

$$-1$$

Evaluate

$$6-y$$

Solution Steps

Combine 7y and -8y to get -y.

$$-y+6$$