Solve h= r / u^2 -1

Simplify

h = \frac{r}{u ^{2}} - 1

Find the first partial derivative by treating the variable u as a constant and differentiating with respect to r

\frac{\partial h}{\partial r} = \frac{\partial}{\partial r} (\frac{r}{u ^{2}} - 1)

Use differentiation rule \frac{\partial}{\partial x} (f (x) \pm g (x)) = \frac{\partial}{\partial x} (f (x)) \pm \frac{\partial}{\partial x} (g (x))

\frac{\partial h}{\partial r} = \frac{\partial}{\partial r} (\frac{r}{u ^{2}}) - \frac{\partial}{\partial r} (1)

Evaluate

More Steps

\frac{\partial h}{\partial r} = \frac{1}{u ^{2}} - \frac{\partial}{\partial r} (1)

Evaluate

\frac{\partial h}{\partial r} = \frac{1}{u ^{2}} - 0

Solution

\frac{\partial h}{\partial r} = \frac{1}{u ^{2}}

Function