Solve x+3y-x+6y

$$x + 3 y - x + 6 y$$

Evaluate

$$9y$$

Solution Steps

Combine x and -x to get 0.

$$3y+6y$$

Combine 3y and 6y to get 9y.

$$9y$$

Differentiate w.r.t. y

$$9$$

Steps Using Definition of a Derivative

Combine x and -x to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}y}(3y+6y)$$

Combine 3y and 6y to get 9y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(9y)$$

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

$$9y^{1-1}$$

Subtract 1 from 1.

$$9y^{0}$$

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

$$9\times 1$$

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

$$9$$