Solve 9*-27y+30y=

$$9 \cdot - 27 y + 30 y =$$

Evaluate

$$-213y$$

Solution Steps

Multiply 9 and -27 to get -243.

$$-243y+30y$$

Combine -243y and 30y to get -213y.

$$-213y$$

Differentiate w.r.t. y

$$-213$$

Steps Using Definition of a Derivative

Multiply 9 and -27 to get -243.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-243y+30y)$$

Combine -243y and 30y to get -213y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-213y)$$

The derivative of ax^{n} is nax^{n-1}.

$$-213y^{1-1}$$

Subtract 1 from 1.

$$-213y^{0}$$

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

$$-213$$