Solve 6y-y-12

$$6 y - y - 12$$

Differentiate w.r.t. y

$$5$$

Steps Using Derivative Rule for Sum

Combine 6y and -y to get 5y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(5y-12)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$5y^{1-1}$$

Subtract 1 from 1.

$$5y^{0}$$

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

$$5\times 1$$

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

$$5$$

Evaluate

$$5y-12$$

Solution Steps

Combine 6y and -y to get 5y.

$$5y-12$$