Solve 25y+6-5y-3

$$25 y + 6 - 5 y - 3$$

Evaluate

$$20y+3$$

Solution Steps

Combine 25y and -5y to get 20y.

$$20y+6-3$$

Subtract 3 from 6 to get 3.

$$20y+3$$

Differentiate w.r.t. y

$$20$$

Steps Using Derivative Rule for Sum

Combine 25y and -5y to get 20y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(20y+6-3)$$

Subtract 3 from 6 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}y}(20y+3)$$

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}.

$$20y^{1-1}$$

Subtract 1 from 1.

$$20y^{0}$$

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

$$20\times 1$$

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

$$20$$