Solve 4x6/8=

$$4 x \frac { 6 } { 8 } =$$

Evaluate

$$3x$$

Solution Steps

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

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

Cancel out 4 and 4.

$$3x$$

Differentiate w.r.t. x

$$3$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4x\times \frac{3}{4})$$

Cancel out 4 and 4.

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

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

$$3x^{1-1}$$

Subtract 1 from 1.

$$3x^{0}$$

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

$$3\times 1$$

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

$$3$$