Solve x3.14*10*10*10

$$x3.14 \cdot 10 \cdot 10 \cdot 10$$

Evaluate

$$140x_{3}$$

Solution Steps

Multiply 0.14 and 10 to get 1.4.

$$x_{3}\times 1.4\times 10\times 10$$

Multiply 1.4 and 10 to get 14.

$$x_{3}\times 14\times 10$$

Multiply 14 and 10 to get 140.

$$x_{3}\times 140$$

Differentiate w.r.t. x_3

$$140$$

Steps Using Definition of a Derivative

Multiply 0.14 and 10 to get 1.4.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(x_{3}\times 1.4\times 10\times 10)$$

Multiply 1.4 and 10 to get 14.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(x_{3}\times 14\times 10)$$

Multiply 14 and 10 to get 140.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(x_{3}\times 140)$$

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

$$140x_{3}^{1-1}$$

Subtract 1 from 1.

$$140x_{3}^{0}$$

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

$$140\times 1$$

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

$$140$$