Solve 6y-8+2y+5

$$6 y - 8 + 2 y + 5$$

Evaluate

$$8y-3$$

Solution Steps

Combine 6y and 2y to get 8y.

$$8y-8+5$$

Add -8 and 5 to get -3.

$$8y-3$$

Differentiate w.r.t. y

$$8$$

Steps Using Derivative Rule for Sum

Combine 6y and 2y to get 8y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(8y-8+5)$$

Add -8 and 5 to get -3.

$$\frac{\mathrm{d}}{\mathrm{d}y}(8y-3)$$

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}.

$$8y^{1-1}$$

Subtract 1 from 1.

$$8y^{0}$$

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

$$8\times 1$$

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

$$8$$