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CONTINUITY AND DIFFERENTIABILITY
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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION XII)(SHORT ANSWER TYPE QUESTIONS)
- If y = (x sin^(-1) x)/(sqrt(1 - x^2)) + "log" sqrt(1 - x^2), prove tha...
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- If y = "cos"^(-1) ((3 + 5 cos x)/(5 + 3 cos x)), prove that cos x = 2 ...
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- Differentiate the following w.r.t.x. x^(tanx) + (tan x)^x.
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- Differentiate the following w.r.t.x. x^(cot x) + (sin x)^x.
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- Differentiate the following w.r.t.x. (log x)^x + x^(cos x)
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- Differentiate the following w.r.t.x. x^2 + (cos x)^(2x)
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- Differentiate the following w.r.t.x. (tan x)^(cot x) + (cot x)^(tan ...
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- Differentiate the following w.r.t.x. (sin x)^x + sin^(-1)sqrt(x)
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- If x^y + y^x = 2, find (dy)/(dx).
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- Finddy/dx, if y^x+x^y+x^x = a^b
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- If x^p . y^q = (x + y)^(p + q) , show that (dy)/(dx) = y/x
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- If x^16 . y^9 = (x^2 + y)^(17), prove that (dy)/(dx) = (2y)/x.
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