Solve (3.2-17)+(-z+6.8)

$$(3.2-17)+(-z+6.8)$$

Evaluate

$$-z-7$$

Solution Steps

Subtract 17 from 3.2 to get -13.8.

$$-13.8-z+6.8$$

Add -13.8 and 6.8 to get -7.

$$-7-z$$

Differentiate w.r.t. z

$$-1$$

Steps Using Derivative Rule for Sum

Subtract 17 from 3.2 to get -13.8.

$$\frac{\mathrm{d}}{\mathrm{d}z}(-13.8-z+6.8)$$

Add -13.8 and 6.8 to get -7.

$$\frac{\mathrm{d}}{\mathrm{d}z}(-7-z)$$

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}.

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

Subtract 1 from 1.

$$-z^{0}$$

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

$$-1$$