Solve 2^2-2z+1

$$2 ^ { 2 } - 2 z + 1$$

Evaluate

$$5-2z$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$4-2z+1$$

Add 4 and 1 to get 5.

$$5-2z$$

Differentiate w.r.t. z

$$-2$$

Steps Using Derivative Rule for Sum

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}z}(4-2z+1)$$

Add 4 and 1 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}z}(5-2z)$$

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}.

$$-2z^{1-1}$$

Subtract 1 from 1.

$$-2z^{0}$$

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

$$-2$$