Solve -15+y+7,7+y

$$- 15 + y + 7,7 + y$$

Evaluate

$$2y-7,3$$

Solution Steps

Add -15 and 7,7 to get -7,3.

$$-7,3+y+y$$

Combine y and y to get 2y.

$$-7,3+2y$$

Differentiate w.r.t. y

$$2$$

Steps Using Derivative Rule for Sum

Add -15 and 7,7 to get -7,3.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-7,3+y+y)$$

Combine y and y to get 2y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-7,3+2y)$$

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}.

$$2y^{1-1}$$

Subtract 1 from 1.

$$2y^{0}$$

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

$$2\times 1$$

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

$$2$$