Solve r/2*frac{sqrt{3}r}{2}

$$\frac { r } { 2 } \cdot \frac { \sqrt { 3 } r } { 2 }$$

Evaluate

$$\frac{\sqrt{3}r^{2}}{4}$$

Solution Steps

Multiply \frac{r}{2} times \frac{\sqrt{3}r}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{r\sqrt{3}r}{2\times 2}$$

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

$$\frac{r^{2}\sqrt{3}}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{r^{2}\sqrt{3}}{4}$$

Differentiate w.r.t. r

$$\frac{\sqrt{3}r}{2}$$