Solve 20y+10-2-16y+11

$$20 y + 10 - 2 - 16 y + 11$$

Evaluate

$$4y+19$$

Solution Steps

Subtract 2 from 10 to get 8.

$$20y+8-16y+11$$

Combine 20y and -16y to get 4y.

$$4y+8+11$$

Add 8 and 11 to get 19.

$$4y+19$$

Differentiate w.r.t. y

$$4$$

Steps Using Derivative Rule for Sum

Subtract 2 from 10 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}y}(20y+8-16y+11)$$

Combine 20y and -16y to get 4y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(4y+8+11)$$

Add 8 and 11 to get 19.

$$\frac{\mathrm{d}}{\mathrm{d}y}(4y+19)$$

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}.

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

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.

$$4$$