Solve 6x*1/3

$$6x \times \frac{ 1 }{ 3 }$$

Evaluate

$$2x$$

Solution Steps

Multiply 6 and \frac{1}{3} to get \frac{6}{3}.

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

Divide 6 by 3 to get 2.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Multiply 6 and \frac{1}{3} to get \frac{6}{3}.

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

Divide 6 by 3 to get 2.

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

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

$$2x^{1-1}$$

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$