Solve 25x/11-3x/11

$$\frac { 25 x } { 11 } - \frac { 3 x } { 11 }$$

Evaluate

$$2x$$

Short Solution Steps

Since \frac{25x}{11} and \frac{3x}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25x-3x}{11}$$

Combine like terms in 25x-3x.

$$\frac{22x}{11}$$

Divide 22x by 11 to get 2x.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Since \frac{25x}{11} and \frac{3x}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{25x-3x}{11})$$

Combine like terms in 25x-3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{22x}{11})$$

Divide 22x by 11 to get 2x.

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

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.

$$2$$