Solve 2/7x3/7

$$\frac { 2 } { 7 } x \frac { 3 } { 7 }$$

Evaluate

$$\frac{6x}{49}$$

Solution Steps

Multiply \frac{2}{7} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{7\times 7}x$$

Do the multiplications in the fraction \frac{2\times 3}{7\times 7}.

$$\frac{6}{49}x$$

Differentiate w.r.t. x

$$\frac{6}{49} = 0.12244897959183673$$

Steps Using Definition of a Derivative

Multiply \frac{2}{7} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2\times 3}{7\times 7}x)$$

Do the multiplications in the fraction \frac{2\times 3}{7\times 7}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6}{49}x)$$

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

$$\frac{6}{49}x^{1-1}$$

Subtract 1 from 1.

$$\frac{6}{49}x^{0}$$

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

$$\frac{6}{49}\times 1$$

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

$$\frac{6}{49}$$