Solve 7y+3-12y-5

$$7y+3-12y-5$$

Evaluate

$$-5y-2$$

Solution Steps

Combine 7y and -12y to get -5y.

$$-5y+3-5$$

Subtract 5 from 3 to get -2.

$$-5y-2$$

Differentiate w.r.t. y

$$-5$$

Steps Using Derivative Rule for Sum

Combine 7y and -12y to get -5y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-5y+3-5)$$

Subtract 5 from 3 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-5y-2)$$

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}.

$$-5y^{1-1}$$

Subtract 1 from 1.

$$-5y^{0}$$

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

$$-5$$