Solve 2x29/7*25*2

$$2 x \frac { 29 } { 7 } \times 25 \times 2$$

Evaluate

$$\frac{2900x}{7}$$

Solution Steps

Express 2\times \frac{29}{7} as a single fraction.

$$\frac{2\times 29}{7}x\times 25\times 2$$

Multiply 2 and 29 to get 58.

$$\frac{58}{7}x\times 25\times 2$$

Express \frac{58}{7}\times 25 as a single fraction.

$$\frac{58\times 25}{7}x\times 2$$

Multiply 58 and 25 to get 1450.

$$\frac{1450}{7}x\times 2$$

Express \frac{1450}{7}\times 2 as a single fraction.

$$\frac{1450\times 2}{7}x$$

Multiply 1450 and 2 to get 2900.

$$\frac{2900}{7}x$$

Differentiate w.r.t. x

$$\frac{2900}{7} = 414\frac{2}{7} = 414.2857142857143$$

Steps Using Definition of a Derivative

Express 2\times \frac{29}{7} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2\times 29}{7}x\times 25\times 2)$$

Multiply 2 and 29 to get 58.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{58}{7}x\times 25\times 2)$$

Express \frac{58}{7}\times 25 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{58\times 25}{7}x\times 2)$$

Multiply 58 and 25 to get 1450.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1450}{7}x\times 2)$$

Express \frac{1450}{7}\times 2 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1450\times 2}{7}x)$$

Multiply 1450 and 2 to get 2900.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2900}{7}x)$$

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

$$\frac{2900}{7}x^{1-1}$$

Subtract 1 from 1.

$$\frac{2900}{7}x^{0}$$

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

$$\frac{2900}{7}\times 1$$

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

$$\frac{2900}{7}$$