Solve =2(118x/100)

$$= 2 ( \frac { 118 x } { 100 } )$$

Evaluate

$$\frac{59x}{25}$$

Solution Steps

Divide 118x by 100 to get \frac{59}{50}x.

$$2\times \frac{59}{50}x$$

Express 2\times \frac{59}{50} as a single fraction.

$$\frac{2\times 59}{50}x$$

Multiply 2 and 59 to get 118.

$$\frac{118}{50}x$$

Reduce the fraction \frac{118}{50} to lowest terms by extracting and canceling out 2.

$$\frac{59}{25}x$$

Differentiate w.r.t. x

$$\frac{59}{25} = 2\frac{9}{25} = 2.36$$

Steps Using Definition of a Derivative

Divide 118x by 100 to get \frac{59}{50}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2\times \frac{59}{50}x)$$

Express 2\times \frac{59}{50} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2\times 59}{50}x)$$

Multiply 2 and 59 to get 118.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{118}{50}x)$$

Reduce the fraction \frac{118}{50} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{59}{25}x)$$

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

$$\frac{59}{25}x^{1-1}$$

Subtract 1 from 1.

$$\frac{59}{25}x^{0}$$

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

$$\frac{59}{25}\times 1$$

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

$$\frac{59}{25}$$