Application of Derivatives questions
910 published questions with worked solutions.
- If a>1, b>1 then the minimum value of _b a+ _a b is
- The least value of 2 _ 100 a- _a0.0001, a>1 is
- If 0<x< /2 then the minimum value of ( x+ x+ cosec 2x)^3 is
- If x, y, z are positive then the minimum value of x^ y- z +y^ z- x +z^ x- y is
- a, b, c are three positive numbers and abc^2 has the greatest value 1 64 . Then
- If a>0, b>0, c>0 and the minimum value of a(b^2+c^2)+b(c^2+a^2)+c(a^2+b^2) is abc then is
- The sum of infinite terms of a decreasing GP is equal to the greatest value of the function f(x)=x^ 3 +3x-9 in the interval...
- The number of real solutions of the equation e^x=x is
- If f(x)= x^2-1 x^2+1 for every real number x then the minimum value of f
- If ab=2a+3b, a>0, b>0 then the minimum value of ab is
- The line y+14=0 cuts the curve whose equation is x(x^2+x+1)+y=0 at
- Let f(x)=x^2(x+2)+x+3. Then
- Let a= 5-2, b= 7- 6 and c= 13 - 12 . Then
- The maximum value of 1+ ( 4+ )+2 ( 4- ) for real values of is
- The minimum value of 2 + for real values of is
- The least value of ^2 -6 +3 ^2 +2 is
- If a= 1 5 x+12 x then for all real x
- If A 0, B 0, A+B= 3 and y= A B then
- If x^ 2 + 4y^ 2 = 12xy, x [1, 4], y [1, 4], then
- The normal to the curve x = at^2, y = 2at at the point P(t) meets the curve again at Q(t'). Then t' is
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