Solve 6y+4y+y

$$6 y + 4 y + y$$

Evaluate

$$11y$$

Solution Steps

Combine 6y and 4y to get 10y.

$$10y+y$$

Combine 10y and y to get 11y.

$$11y$$

Differentiate w.r.t. y

$$11$$

Steps Using Definition of a Derivative

Combine 6y and 4y to get 10y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(10y+y)$$

Combine 10y and y to get 11y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(11y)$$

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

$$11y^{1-1}$$

Subtract 1 from 1.

$$11y^{0}$$

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

$$11\times 1$$

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

$$11$$