Solve 2/7x*2

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

Evaluate

$$\frac{4x}{7}$$

Solution Steps

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

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

Multiply 2 and 2 to get 4.

$$\frac{4}{7}x$$

Differentiate w.r.t. x

$$\frac{4}{7} = 0.5714285714285714$$

Steps Using Definition of a Derivative

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

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

Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{7}x)$$

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

$$\frac{4}{7}x^{1-1}$$

Subtract 1 from 1.

$$\frac{4}{7}x^{0}$$

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

$$\frac{4}{7}\times 1$$

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

$$\frac{4}{7}$$