Solve frac{sqrt{36}}{8}divv+000/sqrt{0,36}

$$\frac { \sqrt { 36 } } { 8 } \div \frac { v + 000 } { \sqrt { 0,36 } }$$

Evaluate

$$\frac{9}{20v}$$

Solution Steps

Divide \frac{\sqrt{36}}{8} by \frac{v+0}{\sqrt{0,36}} by multiplying \frac{\sqrt{36}}{8} by the reciprocal of \frac{v+0}{\sqrt{0,36}}.

$$\frac{\sqrt{36}\sqrt{0,36}}{8\left(v+0\right)}$$

Calculate the square root of 36 and get 6.

$$\frac{6\sqrt{0,36}}{8\left(v+0\right)}$$

Calculate the square root of 0,36 and get 0,6.

$$\frac{6\times 0,6}{8\left(v+0\right)}$$

Multiply 6 and 0,6 to get 3,6.

$$\frac{3,6}{8\left(v+0\right)}$$

Anything plus zero gives itself.

$$\frac{3,6}{8v}$$

Differentiate w.r.t. v

$$-\frac{9}{20v^{2}}$$