Solve 10x/1022/10

$$\frac { 10 x } { 10 } \frac { 22 } { 10 }$$

Evaluate

$$\frac{11x}{5}$$

Solution Steps

Cancel out 10 and 10.

$$x\times \frac{22}{10}$$

Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$x\times \frac{11}{5}$$

Differentiate w.r.t. x

$$\frac{11}{5} = 2\frac{1}{5} = 2.2$$

Steps Using Definition of a Derivative

Cancel out 10 and 10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{22}{10})$$

Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{11}{5})$$

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

$$\frac{11}{5}x^{1-1}$$

Subtract 1 from 1.

$$\frac{11}{5}x^{0}$$

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

$$\frac{11}{5}\times 1$$

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

$$\frac{11}{5}$$