Solve 6D/360*100%

$$\frac { 6 D } { 360 } \times 100 \%$$

Evaluate

$$\frac{D}{60}$$

Solution Steps

Divide 100 by 100 to get 1.

$$\frac{6D}{360}\times 1$$

Divide 6D by 360 to get \frac{1}{60}D.

$$\frac{1}{60}D\times 1$$

Multiply \frac{1}{60} and 1 to get \frac{1}{60}.

$$\frac{1}{60}D$$

Differentiate w.r.t. D

$$\frac{1}{60} = 0.016666666666666666$$

Steps Using Definition of a Derivative

Divide 100 by 100 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}D}(\frac{6D}{360}\times 1)$$

Divide 6D by 360 to get \frac{1}{60}D.

$$\frac{\mathrm{d}}{\mathrm{d}D}(\frac{1}{60}D\times 1)$$

Multiply \frac{1}{60} and 1 to get \frac{1}{60}.

$$\frac{\mathrm{d}}{\mathrm{d}D}(\frac{1}{60}D)$$

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

$$\frac{1}{60}D^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{60}D^{0}$$

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

$$\frac{1}{60}\times 1$$

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

$$\frac{1}{60}$$