Solve 29y+y-10y=

$$29 y + y - 10 y =$$

Evaluate

$$20y$$

Solution Steps

Combine 29y and y to get 30y.

$$30y-10y$$

Combine 30y and -10y to get 20y.

$$20y$$

Differentiate w.r.t. y

$$20$$

Steps Using Definition of a Derivative

Combine 29y and y to get 30y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(30y-10y)$$

Combine 30y and -10y to get 20y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(20y)$$

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

$$20y^{1-1}$$

Subtract 1 from 1.

$$20y^{0}$$

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

$$20\times 1$$

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

$$20$$