Solve -2+6.45z-6+(-3.25z)

$$- 2 + 6.45 z - 6 + ( - 3.25 z )$$

Evaluate

$$\frac{16z}{5}-8$$

Solution Steps

Subtract 6 from -2 to get -8.

$$-8+6.45z-3.25z$$

Combine 6.45z and -3.25z to get 3.2z.

$$-8+3.2z$$

Differentiate w.r.t. z

$$3.2$$

Steps Using Derivative Rule for Sum

Subtract 6 from -2 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}z}(-8+6.45z-3.25z)$$

Combine 6.45z and -3.25z to get 3.2z.

$$\frac{\mathrm{d}}{\mathrm{d}z}(-8+3.2z)$$

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}.

$$3.2z^{1-1}$$

Subtract 1 from 1.

$$3.2z^{0}$$

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

$$3.2\times 1$$

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

$$3.2$$