Solve 10y+(-2y)-6y

$$10 y + ( - 2 y ) - 6 y$$

Evaluate

$$2y$$

Solution Steps

Combine 10y and -2y to get 8y.

$$8y-6y$$

Combine 8y and -6y to get 2y.

$$2y$$

Differentiate w.r.t. y

$$2$$

Steps Using Definition of a Derivative

Combine 10y and -2y to get 8y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(8y-6y)$$

Combine 8y and -6y to get 2y.

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

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.

$$2$$