Question
Sketch the polar curve and find polar equations of the tangent lines to the curve at the pole.$$r=4 \sqrt{\cos 2 \theta}$$
Step 1
The derivative of $r=4 \sqrt{\cos 2 \theta}$ with respect to $\theta$ is given by the chain rule as: $$ \frac{dr}{d\theta} = 4 \frac{1}{2\sqrt{\cos 2\theta}}(-2\sin 2\theta) = -\frac{4\sin 2\theta}{\sqrt{\cos 2\theta}} $$ Show more…
Show all steps
Your feedback will help us improve your experience
R M and 100 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Sketch the polar curve and find polar equations of the tangent lines to the curve at the pole. $$r=4 \cos \theta$$
Analytic Geometry in Calculus
Tangent Lines and Arc Length for Parametric and Polar Curves
Sketch the polar curve and find polar equations of the tangent lines to the curve at the pole. $$ r=4 \sin \theta $$
PARAMETRIC AND POLAR CURVES; CONIC SECTIONS
Tangent Lines, Arc Length, and Area for Polar Curves
Sketch the polar curve and find polar equations of the tangent lines to the curve at the pole. $$ r=2 \theta $$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD