Solve 5*-11y-9+20*-1-y

$$5 \times -11y-9+20 \times -1-y$$

Evaluate

$$-56y-29$$

Solution Steps

Multiply 5 and -11 to get -55. Multiply 20 and -1 to get -20.

$$-55y-9-20-y$$

Subtract 20 from -9 to get -29.

$$-55y-29-y$$

Combine -55y and -y to get -56y.

$$-56y-29$$

Differentiate w.r.t. y

$$-56$$

Steps Using Derivative Rule for Sum

Multiply 5 and -11 to get -55. Multiply 20 and -1 to get -20.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-55y-9-20-y)$$

Subtract 20 from -9 to get -29.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-55y-29-y)$$

Combine -55y and -y to get -56y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-56y-29)$$

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}.

$$-56y^{1-1}$$

Subtract 1 from 1.

$$-56y^{0}$$

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

$$-56$$