Class 12 Maths Exercise 3.4 New KPK Book | Class 12 Maths Ex 3.4 KPK Book | FBISE Differentiation | Study With Me In Pakistan
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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.)
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Trigonometry One Shot Video For 10th – 12th
00:00 Q-1
21:39 Q-2
36:07 Q-3
49:48 Q-4
55:02 Q-5
1. Use the first principle rule to differentiate the following functions:-
a. y = sin(2x)
b. y = cot(3x)
c. y = cos(3x) + tan(3x)
d. y = cot2(3x)
e. y = tanx
f. y = sin3(x)
2. Differentiate the following trigonometric functions by using any suitable rule.
a. y = x2cot3x
b. y = (sin2x + cot3x)2
c. y = 4cosec2x
d. y = 2tan(x+3)2
e. y = sqrt(tanx)/cos sqrt(x)
f. y = (1 + tan2x)/ cosec3x
3 . Use any rule of differentiation to perform dy/dx for
a. y = cos 1(x/a)
b. y = tan 1(x/p)
c. y = cot 1(a/x)
d. y = cosec 1 sqrt(a+x2)
e. y = cosec 1 sqrt(t+3)
f. y = 1/x tan-1 (x+1)/(x-1)
4. Suppose profits on sale of swimming suits in a departmental store are given approx by P(t)= 5 - 5cos , 0 less than t less than or equal to 104 where P(t) = 5 – 5 cos t/26 , 0 less than t less than or equal to 104 where P(t) is profit (in hundreds of dollars) for a week of sales ‘t’ weeks after 1st Jan.
5. A normal seated adult breathes in and exhales about 0.8 liter of air every 4 seconds. The volume of air V(t) in the lungs ‘t’ seconds after exhaling is given approx by V(t)=0.45-0.35cos(t/2) , 0 ≤ t ≤ 8
What is the rate of flow of air?
a. t sec after exhaling?
b. 3 sec after exhaling?, 4 sec after exhaling? 5 sec after exhaling?
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