LIVE Class 12 Maths Differentiation | NCERT Solutions | Step by Step Solved | Day-02

Описание: 📌 LIVE Session – 8th October
Welcome to Class 12 Maths Differentiation – NCERT Solutions (Day-02).
In this live session, we will solve NCERT questions step by step to make Differentiation super easy and exam-ready.

👉 Don’t miss this LIVE session – perfect for Boards + Competitive Exams.
✅ Like, Share & Subscribe for more such LIVE classes.
✅ Join our Telegram Channel for notes & updates: nau_nid

DIFFERENTIATION – BASIC CONCEPTS
1. Derivative Definition:
dy/dx = Lim (h → 0) [ f(x + h) – f(x) ] / h

2. Derivative of basic functions:
d/dx (x^n) = n * x^(n-1)
d/dx (c) = 0 (where c is constant)
d/dx (kx) = k (where k is constant)

3. Trigonometric Functions:
d/dx (sin x) = cos x
d/dx (cos x) = -sin x
d/dx (tan x) = sec^2 x
d/dx (cot x) = -csc^2 x
d/dx (sec x) = sec x * tan x
d/dx (csc x) = -csc x * cot x

4. Exponential & Logarithmic Functions:
d/dx (e^x) = e^x
d/dx (a^x) = a^x * ln(a)
d/dx (ln x) = 1/x
d/dx (log_a x) = 1 / (x * ln a)

5. Product Rule:
d/dx [u * v] = u * dv/dx + v * du/dx

6. Quotient Rule:
d/dx [u / v] = (v * du/dx – u * dv/dx) / v^2

7. Chain Rule:
d/dx [f(g(x))] = f’(g(x)) * g’(x)

8. Some Standard Results:
d/dx (√x) = 1 / (2√x)
d/dx (1/x) = -1/x^2
d/dx (x^x) = x^x (1 + ln x)

Class 12th Math NCERT Exercise 5 Full Solution (Hindi Explanation English Medium) || कक्षा 12 गणित प्रश्नावली

ncert continuity and differentiability
continuity and differentiability exercise 5.1
5.1 class 12 maths
continuity and differentiability class 12 ncert
continuity and differentiability class 12 exercise 5.1
class 12 chapter 5
class 12 maths ch 5
chapter 5 class 12 maths
ch 5 class 12 maths
class 12 chapter 5 maths
class 12 maths continuity and differentiability
class 12 maths chapter 5
continuity and differentiability class 12