brownclam23Lv1
17 Nov 2021
Problem 49
Page 215
Section 3.5: Implicit differentiation
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
17 Nov 2021
Given information
To show :- Show , using implicit differentiation that any tangent line at a point P to a circle with centre O is perpendicular to the radius OP.
Step-by-step explanation
Step 1.
Consider the point Q is (0,0) and the point P is .
The equation of circle is with centre Q and radius r.
Differentiate the equation implicitly ,
Thus , the slope of tangent to the equation at is
The slope of the line passing through the point (0,0) and is