Solve \theta (r) = \pi (1 - r/\lambda )

Evaluate

θ (r) = π (1 - \frac{r}{λ})

Simplify

More Steps

θ (r) = \frac{π ( λ - r )}{λ}

Take the derivative of both sides

θ^{'} (r) = \frac{d}{d r} (\frac{π ( λ - r )}{λ})

Calculate

θ^{'} (r) = \frac{d}{d r} (\frac{πλ - π r}{λ})

Use differentiation rules

θ^{'} (r) = \frac{1}{λ} \times \frac{d}{d r} (πλ - π r)

Calculate the derivative

More Steps

θ^{'} (r) = \frac{1}{λ} \times (- π)

Solution

θ^{'} (r) = - \frac{π}{λ}

\theta (r) = \pi (1 r/\lambda )