Solve y^2-2y^2+45

$$y ^ { 2 } - 2 y ^ { 2 } + 45$$

Differentiate w.r.t. y

$$-2y$$

Steps Using Derivative Rule for Sum

Combine y^{2} and -2y^{2} to get -y^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{2}+45)$$

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}.

$$2\left(-1\right)y^{2-1}$$

Multiply 2 times -1.

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

Subtract 1 from 2.

$$-2y^{1}$$

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

$$-2y$$

Evaluate

$$45-y^{2}$$

Solution Steps

Combine y^{2} and -2y^{2} to get -y^{2}.

$$-y^{2}+45$$