Application of Derivatives questions
910 published questions with worked solutions.
- If a, b and c are positive and 9a + 3b + c = 90 then the maximum value of ( a + b + c) is (base of the logarithm is 10)
- Given that x, y, z are positive real such that xyz = 32. If the minimum value of x^2 + 4xy + 4y^2 + 2z^2 is equal m then the...
- Let x^2 - 3x + p = 0 has two positive roots 'a' and 'b' then minimum value of ( 4 a + 1 b ) is
- If x, y, z are positive real numbers such that x^2 + y^2 + z^2 = 27, then x^3 + y^3 + z^3 has
- The least perimeter of a cyclic quadrilateral of given area A square units is
- If a, b, c are positive real numbers such that a + b + c = 2 then, which one of the following is true?
- The least value of 5^ x - 1 + 5^ - x - 1 is
- If x^2 + 1 x^2 = A and x - 1 x = B, where x R and B > 0, then the minimum value of A B is
- If 0 < < , then the minimum value of ^5 + cosec ^5 is
- If a > 1, b > 1, c > 1, d > 1, then the minimum value of _b a + _a b + _d c + _c d is
- The minimum value of | x + x + x + x + cosec x + x| is
- The minimum value of 4^x + 4^ 1-x , x R, is
- For > /3, the value of f( ) = ^2 + ^2 always lies in the interval
- The number of real roots of the equation 1 + 3^ x/2 = 2^x, is
- The equation e^x = x(x + 1), x < 0 has
- The number of solutions of the equation (1 + e^ x^2 ) 1 + x^2 1 + x^4 - x^2 = 1 + x, is
- The number of integral roots of the equation e^ x-8 + 2x - 17 = 0, is
- The number of negative real roots of x^4 - 4x - 1 = 0, is
- The number of real solutions of the equation e^ -x = x, is
- The number of roots of the equation x = | |x||, is
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