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AAKASH SERIES-MAXIMA AND MINIMA -Advanced Analytical Solved Examples
- Find the least value of k for which the function x^(3) + kx +1 is an i...
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- Find the values of a if f(x) = 2x^(x) - a e^(-x) + (2a +1) x-3 is incr...
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- Separate the intervals of monotonicity of the following functions : ...
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- Separate the intervals of monotonicity of the following functions : ...
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- Let f(x) and g(x) be two continous functions defined from Rrarr R, suc...
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- Prove that |cos alpha - cos beta| le | alpha - beta|.
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- For 0 lt x lt (pi)/(2), prove that cos (sin x) gt sin (cos x).
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- Examine for maxima or minima for f(x) = {(x^(2),",",x lt 0,),(5,",","x...
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- f(x) = {(cos""(pix)/(2),",",x gt 0,),("x + a",",",x le 0,):}. Find the...
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- Discuss the extremum of f(x) = 2x + 3x^(2//3).
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- Discuss the global maxima and global minima for f(x) = tan^(-1) x - lo...
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- Let f(x) = {(x^(3) - x^(2) + 10x - 5",", x le 1),(-2x + log(2)(b^(2) -...
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- The maximum value of ( cos alpha1) ( cos alpha2) … ( cos alphan) under...
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- Let a, b, c be positive number. If ax^(2) + (b)/(x) = c for all x gt 0...
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- If f(x) = 2sin^(3) x + lambda sin^(2) x, x - (pi)/(2) lt x lt (pi)/(2)...
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- Let f''(x) gt 0 AA x in R and g(x) = g(x) = 2f((x^(2))/(2)) + f(6-x^(2...
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- If the equation x^(4) + 4x^(3) - 2x^(2) - 12 x + k = 0 has 4 real root...
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- One corner of a rectangle of width one unit is folded over so as to re...
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- Given P(x)=x^(4)+ax^(3)+bx^(2)+cx +d such that x=0 is the only real ro...
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- Show that the function f(x) = 2x^(2) - 3(lambda + 2) x^(2) + 2 lambdax...
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