Solve 9y-7y+9-2

$$9 y - 7 y + 9 - 2$$

Evaluate

$$2y+7$$

Solution Steps

Combine 9y and -7y to get 2y.

$$2y+9-2$$

Subtract 2 from 9 to get 7.

$$2y+7$$

Differentiate w.r.t. y

$$2$$

Steps Using Derivative Rule for Sum

Combine 9y and -7y to get 2y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(2y+9-2)$$

Subtract 2 from 9 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}y}(2y+7)$$

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}.

$$2y^{1-1}$$

Subtract 1 from 1.

$$2y^{0}$$

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

$$2\times 1$$

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

$$2$$