Solve 6y+3y+6y-2y

$$6 y + 3 y + 6 y - 2 y$$

Evaluate

$$13y$$

Solution Steps

Combine 6y and 3y to get 9y.

$$9y+6y-2y$$

Combine 9y and 6y to get 15y.

$$15y-2y$$

Combine 15y and -2y to get 13y.

$$13y$$

Differentiate w.r.t. y

$$13$$

Steps Using Definition of a Derivative

Combine 6y and 3y to get 9y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(9y+6y-2y)$$

Combine 9y and 6y to get 15y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(15y-2y)$$

Combine 15y and -2y to get 13y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(13y)$$

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

$$13y^{1-1}$$

Subtract 1 from 1.

$$13y^{0}$$

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

$$13\times 1$$

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

$$13$$