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BANSAL-APPLICATION OF DERIVATIVE-All Questions
- Show that for each a >0 the finction e^(-a x)dotx^a^2 has a maximum va...
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- Let f(x)=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1. If f(x) has positive po...
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- Show that the surface area of a sphere is the same as that of the l...
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- Consider the function represented parametrically as x=a t^2,\ y=2a ...
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- Statement-1 : If a1,a2,a3,….. an are positive real numbers , whose pro...
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- Find a point on the curve x^2 + 2y^2 = 6, whose distance from the li...
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- For the circle x^(2)+y^(2)=r^(2), find the value of r for which the ar...
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- If f(x)=x^3+b x^2+c x+d and 0<b^2<c , then f(x) is a strictly increasi...
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- Prove that sinx+2xgeq(3x(x+1))/pi, AA x in [0,pi/2] (Justify the ine...
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- If P(x) is a polynomial of degree 3 satisfying p(-1)=10 ,p(1)=-6a n dp...
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- Let f(x) be a polynomial of degree 3 having a local maximum at x=-1...
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- e total number of local maxima and local minima of the function f(x) =...
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- Consider the function f:(-oo,\ oo)->(-oo,oo) defined by f(x)=(x^2-a...
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- Consider the function f:(-oo,oo)rarr(-oo,oo) defined by f(x)=(x^2-ax+1...
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- Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and l...
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- The maximum value of the function f(x)=2x^3-15 x^2+36 x-48 on the set ...
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- Let f,\ g\ a n d\ h be real-valued functions defined on the interva...
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- Consider three real-valued functions f,g and h defined on R (the set ...
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- The number of distinct real roots of x^4-4x^3+12 x 62+x-1=0i sdot
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- If f(x) = 2 x t 0 e (t 2)(t 3)dt for all x (0, ), then (A) f has a ...
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