Solve 2pi/9text{rad}x2003/pi

$$\frac { 2 \pi } { 9 } \text { rad } x \frac { 2003 } { \pi }$$

Evaluate

$$\frac{4006adrx}{9}$$

Solution Steps

Express \frac{2\pi }{9}r as a single fraction.

$$\frac{2\pi r}{9}adx\times \frac{2003}{\pi }$$

Express \frac{2\pi r}{9}a as a single fraction.

$$\frac{2\pi ra}{9}dx\times \frac{2003}{\pi }$$

Express \frac{2\pi ra}{9}d as a single fraction.

$$\frac{2\pi rad}{9}x\times \frac{2003}{\pi }$$

Express \frac{2\pi rad}{9}x as a single fraction.

$$\frac{2\pi radx}{9}\times \frac{2003}{\pi }$$

Multiply \frac{2\pi radx}{9} times \frac{2003}{\pi } by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\pi radx\times 2003}{9\pi }$$

Cancel out \pi in both numerator and denominator.

$$\frac{2\times 2003adrx}{9}$$

Multiply 2 and 2003 to get 4006.

$$\frac{4006adrx}{9}$$

Differentiate w.r.t. x

$$\frac{4006adr}{9}$$