Solve y-4-(-2)1^2

$$y - 4 - ( - 2 ) 1 ^ { 2 }$$

Evaluate

$$y-2$$

Solution Steps

Calculate 1 to the power of 2 and get 1.

$$y-4-\left(-2\right)$$

The opposite of -2 is 2.

$$y-4+2$$

Add -4 and 2 to get -2.

$$y-2$$

Differentiate w.r.t. y

$$1$$

Steps Using Derivative Rule for Sum

Calculate 1 to the power of 2 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y-4-\left(-2\right))$$

The opposite of -2 is 2.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y-4+2)$$

Add -4 and 2 to get -2.

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

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}.

$$y^{1-1}$$

Subtract 1 from 1.

$$y^{0}$$

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

$$1$$