Solve 3x/30+2x/60

$$\frac{ 3x }{ 30 } + \frac{ 2x }{ 60 }$$

Evaluate

$$\frac{2x}{15}$$

Solution Steps

Divide 3x by 30 to get \frac{1}{10}x.

$$\frac{1}{10}x+\frac{2x}{60}$$

Divide 2x by 60 to get \frac{1}{30}x.

$$\frac{1}{10}x+\frac{1}{30}x$$

Combine \frac{1}{10}x and \frac{1}{30}x to get \frac{2}{15}x.

$$\frac{2}{15}x$$

Differentiate w.r.t. x

$$\frac{2}{15} = 0.13333333333333333$$

Steps Using Definition of a Derivative

Divide 3x by 30 to get \frac{1}{10}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{10}x+\frac{2x}{60})$$

Divide 2x by 60 to get \frac{1}{30}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{10}x+\frac{1}{30}x)$$

Combine \frac{1}{10}x and \frac{1}{30}x to get \frac{2}{15}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{15}x)$$

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

$$\frac{2}{15}x^{1-1}$$

Subtract 1 from 1.

$$\frac{2}{15}x^{0}$$

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

$$\frac{2}{15}\times 1$$

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

$$\frac{2}{15}$$