Solve 0,36x1.47/28=

$$\frac { 0,36 x 1.47 } { 28 } =$$

Evaluate

$$\frac{423x_{1}}{70000}$$

Solution Steps

Multiply 0.36 and 0.47 to get 0.1692.

$$\frac{0.1692x_{1}}{28}$$

Divide 0.1692x_{1} by 28 to get \frac{423}{70000}x_{1}.

$$\frac{423}{70000}x_{1}$$

Differentiate w.r.t. x_1

$$\frac{423}{70000} = 0.006042857142857143$$

Steps Using Definition of a Derivative

Multiply 0.36 and 0.47 to get 0.1692.

$$\frac{\mathrm{d}}{\mathrm{d}x_{1}}(\frac{0.1692x_{1}}{28})$$

Divide 0.1692x_{1} by 28 to get \frac{423}{70000}x_{1}.

$$\frac{\mathrm{d}}{\mathrm{d}x_{1}}(\frac{423}{70000}x_{1})$$

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

$$\frac{423}{70000}x_{1}^{1-1}$$

Subtract 1 from 1.

$$\frac{423}{70000}x_{1}^{0}$$

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

$$\frac{423}{70000}\times 1$$

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

$$\frac{423}{70000}$$