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2:59
YouTube
Shivang Maths Academy
Q) Show that the derivative of tan^(−1) (sec𝑥+tan𝑥),[−𝜋/2𝑥𝜋/2] with respect to x is equal to 1
Q) Show that the derivative of tan^(−1) (sec𝑥+tan𝑥),[−𝜋/2𝑥𝜋/2] with respect to x is equal to 1/2. #continuityanddifferentia CBSE Class 12 Maths PYQ 2026 | Continuity of Piecewise Function at x = 3 | Board Exam Question | Functions Chapter class 12th maths chapter number 5 Medium volume : class 12 maths chapter 5 exercise 5.1 ...
1.2K views
1 week ago
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Continuity Equation Examples
1:48
If 𝑥√(1+y)+y√(1+𝑥)=0,, then prove that dy/dx=(−1)/((1+x)^2 ) )#maths #cbse2026
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Shivang Maths Academy
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Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is
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Shivang Maths Academy
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Q) If 𝑥𝑦=𝑒^(𝑥−𝑦), then find 𝑑𝑦/𝑑𝑥 #continuityanddifferentiabilityclass12 #maths #cbse2027
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1:15
Differentiate (5^x/x^5 ) with respect to x #cbse2027 #maths #continuityanddifferentiabilityclass12
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Shivang Maths Academy
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1:45
Q) If 𝑦=𝑃cos 𝑢𝑥+𝑄sin 𝑢𝑥, show that (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑢^2 𝑦=0. #cbse2026 #maths #different
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Q) Differentiate y=log(𝑥+√(𝑥^2+a^2 )) w.r.t. 𝑥.#cbseclass12 #cbse2027 #maths #cbse # #maths
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Q) The value of k for which f(x)={(sin7x/5x,x≠0 k,x=0) is continuous at x=0 is
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Shivang Maths Academy
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Q) Find whether the function 𝑓(𝑥)={(𝑥−1, 𝑥=2 2𝑥−3, 𝑥≥2) at 𝑥=2 is differentiable or not.
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Find the value of k for which the function 𝐟(𝐱)={((𝟏−𝐜𝐨𝐬𝐱)/(𝟐𝐱^𝟐 ), 𝐢𝐟 𝐱≠𝟎 𝐤, 𝐢𝐟
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Differentiate (5^x/x^5 ) with respect to x #cbse2027 #maths #continuityanddifferentiabilityclass12
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Q) If 𝑦=𝑃cos 𝑢𝑥+𝑄sin 𝑢𝑥, show that (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑢^2 𝑦=0. #cbse2026 #maths #different
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2 weeks ago
YouTube
Shivang Maths Academy
1:19
Q) Differentiate y=log(𝑥+√(𝑥^2+a^2 )) w.r.t. 𝑥.#cbseclass12 #cbse2027 #maths #cbse # #maths
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Shivang Maths Academy
1:48
If 𝑥√(1+y)+y√(1+𝑥)=0,, then prove that dy/dx=(−1)/((1+x)^2 ) )#maths #cbse2026
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Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is
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Q) If 𝑥𝑦=𝑒^(𝑥−𝑦), then find 𝑑𝑦/𝑑𝑥 #continuityanddifferentiabilityclass12 #maths #cbse2027
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Q) The value of k for which f(x)={(sin7x/5x,x≠0 k,x=0) is continuous at x=0 is
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Q) Find whether the function 𝑓(𝑥)={(𝑥−1, 𝑥=2 2𝑥−3, 𝑥≥2) at 𝑥=2 is differentiable or not.
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Find the value of k for which the function 𝐟(𝐱)={((𝟏−𝐜𝐨𝐬𝐱)/(𝟐𝐱^𝟐 ), 𝐢𝐟 𝐱≠𝟎 𝐤, 𝐢𝐟
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Q) If 𝑓(𝑥)={(1,if 𝑥≤3 𝑎𝑥+𝑏, if 3 ≤𝑥≤ 7, if 5≤𝑥) is continuous in 𝑅, then the values of
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If a function defined by 𝑓(𝑥)={(𝑘𝑥+1, 𝑥≤𝜋 cos𝑥 ,𝑥=𝜋) is continuous at 𝑥=𝜋, then the val
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Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t
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Find k so that 𝑓(𝑥)={((𝑥^2−2𝑥−3)/(𝑥+1), 𝑥≠−1 𝑘, 𝑥=−1) is continuous at x=−1.#cbse2027 #maths
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Q) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :
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Q) If sin^(−1) 𝑥=𝑦,then 𝑑𝑦/𝑑𝑥 is #maths #continuityanddifferentiabilityclass12 #class12 #cbse
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If 𝑓(𝑥)={ ((sin^2 𝑎𝑥)/𝑥^2 if 𝑥≠0 1 , if 𝑥=0) is continuous at 𝑥=0, then the value of ' 𝑎 ‘
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Q) Find the value of 𝑘, so that 𝑓(𝑥)={(𝑘cos𝑥/(𝜋−2𝑥), if 𝑥≠𝜋/2@3, if 𝑥=𝜋/2) is continu
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2:05
Q) Simplify: 𝐜𝐨𝐬^(−𝟏) 𝐱+𝐜𝐨𝐬^(−𝟏) [𝐱/𝟐+√(𝟑−𝟑𝐱^𝟐 )/𝟐]; 𝟏/𝟐≤𝐱≤𝟏 #cbsemaths #maths
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Shivang Maths Academy
0:55
Q) If sin^(−1) 𝑥 + pie =3𝑦, thenCBSE Class 12 Maths PYQ 2026 | Continuity of Piecewise Function
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