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Class 12 Maths Exercise 3.2 New KPK Book | Class 12 Maths Ex 3.2 KPK Book | FBISE Differentiation

https://youtu.be/r665nuJbB2I
Calculus Summarized One Shot Video of 40 Minutes
(This video is crux of Differentiation and Integration. Must go through this video by pausing and thinking , if you are a slow learner. Must see this video twice atleast, on consecutive week ends.)

Differentiation  https://youtu.be/r665nuJbB2I?si=aEZ0xqqqVbThgMYP
Logarithms  https://youtu.be/SZxARGQvAdM?si=YLJiLJYO1umZcyem
Integration  https://youtu.be/2BMaVP7X-78?si=0HSbPS1t3Pzy-IQT
Formulas Sheet (use laptop)  https://youtu.be/pPjMzG1xygM?si=nFJHWQcJWEcQK8V4

00:00:00 Intro
00:01:53 Q1
00:19:06 Q2
00:36:15 Q3
00:48:17 Q4
01:02:25 Q5

1. Differentiate f(x)+g(x) and f(x)-g(x)
a. f(x) = 3x + 7 and g(x)=6x2 + 2x -3
b. f(x) = 17x2 - 15 and g(x)= x2/3 + x/2 -5
c. f(x) = x3 - 3/2 and g(x)= 3x3 -4x2+2
d. f(x) = 4x3 - 5x and g(x)= 3x2/2 - 2x

2. Use the product rule to find out the derivative of the following functions:
a. y = (x2-2)(3x + 1)
b. y = (7x4 +2x)(x2 - 4)
c. y = (2x-3)(x – 1)
d. y=(-3x + 6)(4x -2)

3. Use the quotient rule to find out the derivative of the following functions:
a. y = 3x - 5 / x - 4
b. y = -x2 +6x / 4x3 + 1
c. y = 5x+6 / x
d. f(p)=(2p+3)(4p-1)/(3p+2)

4. Find an equation of a tangent line to the graph of a function at the particular point in the following functions:
a. f(x) = 3x - 7 at (3,2)
b. f(x) = x3 at x=-1/2
c. f(x) = 1/(x+3) at x=2
d. f(x)= x/(x-2) at (3,3)

5. For a thin lens of constant focal length P, the object distance x and the image distance y are related by the formula : 1/x + 1/y = 1/p
a. Solve the above equation for y in terms of x and P
b. Determine the rate of change of y with respect to x

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Class 12 Maths Exercise 3.2 Question Number 5
Class 12 Maths Ex 3.2 Question Number 1
Class 12 Maths Ex 3.2 Question Number 2
Class 12 Maths Ex 3.2 Question Number 3
Class 12 Maths Ex 3.2 Question Number 4
Class 12 Maths Ex 3.2 Question Number 5
Class 12 Maths Ex 3.2 Q1
Class 12 Maths Ex 3.2 Q2
Class 12 Maths Ex 3.2 Q3
Class 12 Maths Ex 3.2 Q4
Class 12 Maths Ex 3.2 Q5

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