Solve 3y+2+7y+5

$$3 y + 2 + 7 y + 5$$

Evaluate

$$10y+7$$

Solution Steps

Combine 3y and 7y to get 10y.

$$10y+2+5$$

Add 2 and 5 to get 7.

$$10y+7$$

Differentiate w.r.t. y

$$10$$

Steps Using Derivative Rule for Sum

Combine 3y and 7y to get 10y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(10y+2+5)$$

Add 2 and 5 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}y}(10y+7)$$

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}.

$$10y^{1-1}$$

Subtract 1 from 1.

$$10y^{0}$$

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

$$10\times 1$$

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

$$10$$