Solve y+y+2y

$$y + y + 2 y$$

Evaluate

$$4y$$

Solution Steps

Combine y and y to get 2y.

$$2y+2y$$

Combine 2y and 2y to get 4y.

$$4y$$

Differentiate w.r.t. y

$$4$$

Steps Using Definition of a Derivative

Combine y and y to get 2y.

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

Combine 2y and 2y to get 4y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(4y)$$

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

$$4y^{1-1}$$

Subtract 1 from 1.

$$4y^{0}$$

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

$$4\times 1$$

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

$$4$$