Solve 3-y-4-5

$$3 - y - 4 - 5$$

Evaluate

$$-y-6$$

Solution Steps

Subtract 4 from 3 to get -1.

$$-1-y-5$$

Subtract 5 from -1 to get -6.

$$-6-y$$

Differentiate w.r.t. y

$$-1$$

Steps Using Derivative Rule for Sum

Subtract 4 from 3 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-1-y-5)$$

Subtract 5 from -1 to get -6.

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

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.

$$-1$$