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- If f(x)=4x^3-x^2-2x+1 and g(x)={min f(t): 0<=t<=x; 0<=x<=1, 3-x : 1...
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- The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^...
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- The number of values of x where the function f(x)=cosx+cos(sqrt2x) att...
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- For a cubic function y=f(x),f''(x)=4x at each point (x , y) on it and ...
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- If m is the minimum value of f(x , y)=x^2-4x+y^2+6y when x and y are s...
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- f(x) is polynomial function of degree 6, which satisfies ("lim")(xvec...
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- In which of the following graphs is x=c the point of inflection? figur...
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- Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...
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- Find the local maxima and local minima for the given function and also...
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- Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1...
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- Let f(x) be a cubic polynomial which has local maximum at x=-1 \ and \...
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- Let f(x)={(|x^3+x^2+3x+sinx|(3+sin"1/x),x!=0),(0,x=0):} then number o...
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- If alpha is an integer satisfying |alpha|lt=4-|[x]|, where x is a r...
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- The function f(x)=sin^4x+cos^4x increasing if :
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- If f(x)=x/(sinx) and g(x)=x/("tan"x), where 0ltxle1, then in this inte...
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- If f(x)=x^(3/2)(3x-10),xgeq0, then f(x) is increasing in .
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- For 0ltaltx , the minimum value of function loga"" x+logx a is 2.
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- If x-r is a factor of the polynomial f(x)=a0x^n+a1x^(n-1)+.....+an rep...
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- If f(x)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then...
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- AB is a diameter of a circle and 'C' is any point on the circumference...
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