Solve -3y-2-3+17y

$$- 3 y - 2 - 3 + 17 y$$

Evaluate

$$14y-5$$

Solution Steps

Subtract 3 from -2 to get -5.

$$-3y-5+17y$$

Combine -3y and 17y to get 14y.

$$14y-5$$

Differentiate w.r.t. y

$$14$$

Steps Using Derivative Rule for Sum

Subtract 3 from -2 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-3y-5+17y)$$

Combine -3y and 17y to get 14y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(14y-5)$$

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}.

$$14y^{1-1}$$

Subtract 1 from 1.

$$14y^{0}$$

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

$$14\times 1$$

For any term t, t\times 1=t and 1t=t.

$$14$$