Question

What is the slope of the curve:
r=1+2cos(theta) @ (theta)=pi/2

Answer 1

\[r=1+2\cos(\theta) ;(\theta)=\pi/2\]

Answer 2

first do d derivative

Answer 3

can u?

Answer 4

dr/dtheta = theta -2sin(theta)

Answer 5

\[dr/d \theta = \theta -2\sin(\theta)\]

Answer 6

simply plug in pi/2 for theta now

Answer 7

easy

Answer 8

\[r=1+2\cos(\theta) ;(\theta)=\pi/2\]Find dr/d(theta). The correct result does not begin with theta.

Answer 9

Hints: What is the derivative of a constant? What is the derivative of the sine function?