Question

find dy/dx at (4,pi/2) if r=2+3sin theta

Answer 1

\[\frac{ dy }{ dx }at (4,\frac{ \pi }{2 }),, and,, r=2+3\sin \theta \]

Answer 2

are you looking for dy/dx or dr/d(theta) ?

Answer 3

dy/dx

Answer 4

then this is a tricky problem, have you tried it?

Answer 5

OK. You need to use the following....

For r = f(θ) and x=rsinθ y=rcosθ (polar co-ordinates)

dy/dx = [(dr/dθ)sinθ +rcosθ]/[(dr/dθ)cosθ - rsinθ)]

You just need to find the derivative and plug in the co-ordinate point

Answer 6

If you're wondering how i got the fancy dy/dx formula i can send you the derivation

Answer 7

By the way the graph doesnt go through (4, pi/2), is this point correct?