Question

g (º)= º/ 1-sen º
derivar ultimo ejercicio!

Answer 1

$g(\theta)=\dfrac{\theta}{1-\sin \theta}\\ \\ \\ \dfrac{dg}{d\theta}=\dfrac{\frac{d\theta}{d\theta}\times (1-\sin\theta)-\theta\times\frac{d(1-\sin\theta)}{d\theta}}{(1-\sin\theta)^2}\\ \\ \\ \dfrac{dg}{d\theta}=\dfrac{(1-\sin\theta)-\theta(-\cos\theta)}{(1-\sin\theta)^2}\\ \\ \\ \boxed{\dfrac{dg}{d\theta}=\dfrac{1-\sin\theta+\theta\cos\theta}{(1-\sin\theta)^2}}$