Differentiate y=cos^(−1) ((1−x^2)/(1+x^2 )) with respect to x , when x∈(0,1).
1:59
Differentiate y=cos^(−1) ((1−x^2)/(1+x^2 )) with respect to x , when x∈(0,1).
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YouTubeShivang Maths Academy
Q) If y=(x+√(1+x^2 ))^n, then show that (1+𝑥^2 ) (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑥 𝑑𝑦/𝑑𝑥=𝑛^2 𝑦 #cbse
2:38
Q) If y=(x+√(1+x^2 ))^n, then show that (1+𝑥^2 ) (𝑑^2 𝑦)/(𝑑𝑥^2 )+𝑥 𝑑𝑦/𝑑𝑥=𝑛^2 𝑦 #cbse
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YouTubeShivang Maths Academy
(x-1)(x-2)(x-3)(x-4) = 120 Find the number of imaginary (non-real) roots of the equation #maths
1:46
(x-1)(x-2)(x-3)(x-4) = 120 Find the number of imaginary (non-real) roots of the equation #maths
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YouTubeMATHS SEEKHO with ABHAY
If 𝑥√(1+y)+y√(1+𝑥)=0,, then prove that dy/dx=(−1)/((1+x)^2 ) )#maths #cbse2026
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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YouTubeShivang Maths Academy
A complex way to integrate 1/(x^2+1)
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A complex way to integrate 1/(x^2+1)
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Differentiate tan^(-1)(sqrt(√(1-x^2)/x) with respect to cos^(-1)(2x√(1-x^2)) ,when x!=0 | Shaalaa.com
Differentiate tan^(-1)(sqrt(√(1-x^2)/x) with respect to cos^(-1)(2x√(1-x^2)) ,when x!=0 | Shaalaa.com
Sep 16, 2024
shaalaa.com
Q) If y=cosec(cot^(−1) x), then prove that √(1+x^2 ) dy/dx−x=0. #cbse2026 #maths #class12math #cbse
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Q) If y=cosec(cot^(−1) x), then prove that √(1+x^2 ) dy/dx−x=0. #cbse2026 #maths #class12math #cbse
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🔥 Day 107 — Can you solve this? Evaluate the integral: ∫ from 0 to ∞ of 1 / (1 x^2)^2 dx It looks messy — but one substitution makes it melt away 😮‍💨 Set x = tan θ and it turns into a simple cosine-square integral. 👉 The move: dx/(1 x^2)^2 → cos^2(θ) dθ with θ in [0, π/2]. Then integrate cos^2(θ) cleanly with a double-angle identity 👀 Would you land the exact value before time runs out? ⏱️ 💭 Drop your answer below 👇 ✅ Full step-by-step solution is already on my page. ➡️ Follow for Day 108
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