Solve 6/7*3x

$$\frac { 6 } { 7 } \times 3 x$$

Evaluate

$$\frac{18x}{7}$$

Solution Steps

Express \frac{6}{7}\times 3 as a single fraction.

$$\frac{6\times 3}{7}x$$

Multiply 6 and 3 to get 18.

$$\frac{18}{7}x$$

Differentiate w.r.t. x

$$\frac{18}{7} = 2\frac{4}{7} = 2.5714285714285716$$

Steps Using Definition of a Derivative

Express \frac{6}{7}\times 3 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6\times 3}{7}x)$$

Multiply 6 and 3 to get 18.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{18}{7}x)$$

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

$$\frac{18}{7}x^{1-1}$$

Subtract 1 from 1.

$$\frac{18}{7}x^{0}$$

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

$$\frac{18}{7}\times 1$$

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

$$\frac{18}{7}$$