Solve 6/36/34/4x

$$\frac { 6 } { 3 } \frac { 6 } { 3 } \frac { 4 } { 4 } x$$

Evaluate

$$4x$$

Solution Steps

Divide 4 by 4 to get 1.

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

Multiply \frac{6}{3} and \frac{6}{3} to get \left(\frac{6}{3}\right)^{2}.

$$\left(\frac{6}{3}\right)^{2}\times 1x$$

Divide 6 by 3 to get 2.

$$2^{2}\times 1x$$

Calculate 2 to the power of 2 and get 4.

$$4\times 1x$$

Multiply 4 and 1 to get 4.

$$4x$$

Differentiate w.r.t. x

$$4$$

Steps Using Definition of a Derivative

Divide 4 by 4 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6}{3}\times \frac{6}{3}\times 1x)$$

Multiply \frac{6}{3} and \frac{6}{3} to get \left(\frac{6}{3}\right)^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(\frac{6}{3}\right)^{2}\times 1x)$$

Divide 6 by 3 to get 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2^{2}\times 1x)$$

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times 1x)$$

Multiply 4 and 1 to get 4.

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

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

$$4x^{1-1}$$

Subtract 1 from 1.

$$4x^{0}$$

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

$$4\times 1$$

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

$$4$$