Solve ddalpha/222/2pir

$$\frac { \frac { d d \alpha } { 222 } } { 2 \pi r }$$

Evaluate

$$\frac{\alpha d^{2}}{444\pi r}$$

Solution Steps

Multiply d and d to get d^{2}.

$$\frac{\frac{d^{2}\alpha }{222}}{2\pi r}$$

Express \frac{\frac{d^{2}\alpha }{222}}{2\pi r} as a single fraction.

$$\frac{d^{2}\alpha }{222\times 2\pi r}$$

Multiply 222 and 2 to get 444.

$$\frac{d^{2}\alpha }{444\pi r}$$

Differentiate w.r.t. α

$$\frac{d^{2}}{444\pi r}$$