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AAKASH SERIES-DIFFRENTATION-LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)
- Let f(x) = (x - 1)(x - 2)(x - 3)…(x -n), n in N and f(')(n) = 5040. Th...
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- Let f(x) = x + 1/(2x + 1/(2x + 1/(2x + ....oo))) " then " sqrt((f(50) ...
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- If y = "sin"^(-1)[xsqrt(1 - x) - sqrt(x) sqrt(1 - x^2)] and 0 lt x lt ...
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- f'(x) = cancel(O)(x) and cancel(O)'(x) = f(x) for all x. Also f(3) = 5...
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- Let f(x) = (x - 1)(x - 2)(x - 3)…(x -n), n in N and f(')(n) = 5040. Th...
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- If function f satisfies the relation f(x) xx f'(-x) = f(-x) xx f'(x) f...
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- If |x| lt 1 and (1 - 2x)/(1 - x + x^2) + (2x - 4x^3)/(1 - x^2 + x^4) +...
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- Let F(x) = f(x).g(x).h(x) x in R, where f(x) , g(x) & h(x) are differ...
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- The function f satisfies the relation f(x) . F'(-x) = f(-x)f'(x) AA x ...
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- Let f is a real valued function defined on the interval (-1,1) such th...
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- y = f(x), Where f satisfies the relation f(x + y) = 2f(x) + xf(y) + ys...
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- If y = (x^4 - x^2 + 1)/(x^2 + sqrt(3)x + 1) and (dy)/(dx) = ax + b , t...
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- Suppose f(x) = e^(ax) + e^(hx) , Where a != b , and that f^('')(x) - 2...
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- Let g(x) = {{:((x^2 + x "tan" x - x "tan" 2x)/(ax + tan x - tan 3x"),x...
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