Implicit and Parametric Differentiation | JEE 2027 Maths (English)
RankDeterminant
0:00 / 0:00
Implicit and Parametric Differentiation | JEE 2027 Maths (English)
9 просмотров · 11 ч назад
RankDeterminant
10 подписчиков
9 просмотров · 11 ч назад
Free notes + solved JEE problems for this lesson: https://rankdeterminant.com/go/yt-mat...
All lessons of this unit: • JEE 2027 Maths | Unit 7 Limits, Continuity...
Implicit and parametric differentiation for JEE: find dy/dx without making y the subject. Why y squared gives 2y y' and not 2y, the shortcut dy/dx = -Fx/Fy for F(x, y) = 0, the parametric rule dy/dx = (dy/dt)/(dx/dt), the never-ending square root trick, and two solved problems: the circle x^2 + y^2 = 25 and the cycloid.
Chapters
0:00 Introduction
0:44 Implicit: y is still a function of x
1:45 Shortcut: dy/dx = -Fx/Fy for F(x, y) = 0
3:10 Parametric: x and y both depend on t
4:27 Topper's trick: an expression that never ends
5:22 Example 1: dy/dx for x2 + y2 = 25 and the slope at (3, 4)
6:28 Example 2: dy/dx of the cycloid, using half angles
7:54 Quick revision: implicit, parametric, never-ending roots
A free JEE paper every day and a full JEE Main mock every Sunday: https://rankdeterminant.com/go/yt-dai...
Mathematics · Unit 7 · Limits, Continuity & Differentiability · Chapter 5 · Methods of Differentiation
#Differentiation #JEEMaths #JEE2027
Narrated with a computer voice.