Solve (z1/8*0.11)

$$( \frac { z 1 } { 8 \times 0.11 } )$$

Differentiate w.r.t. z_1

$$\frac{25}{22} = 1\frac{3}{22} = 1.1363636363636365$$

Steps Using Definition of a Derivative

Multiply 8 and 0.11 to get 0.88.

$$\frac{\mathrm{d}}{\mathrm{d}z_{1}}(\frac{z_{1}}{0.88})$$

The derivative of ax^{n} is nax^{n-1}.

$$\frac{25}{22}z_{1}^{1-1}$$

Subtract 1 from 1.

$$\frac{25}{22}z_{1}^{0}$$

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

$$\frac{25}{22}\times 1$$

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

$$\frac{25}{22}$$

Evaluate

$$\frac{25z_{1}}{22}$$

Solution Steps

Multiply 8 and 0.11 to get 0.88.

$$\frac{z_{1}}{0.88}$$