Solve 27(0)-65y-(107)

$$27(0)-65y-(107)$$

Evaluate

$$-65y-107$$

Solution Steps

Multiply 27 and 0 to get 0.

$$0-65y-107$$

Subtract 107 from 0 to get -107.

$$-107-65y$$

Differentiate w.r.t. y

$$-65$$

Steps Using Derivative Rule for Sum

Multiply 27 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(0-65y-107)$$

Subtract 107 from 0 to get -107.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-107-65y)$$

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}.

$$-65y^{1-1}$$

Subtract 1 from 1.

$$-65y^{0}$$

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

$$-65$$