Application of Derivatives questions
910 published questions with worked solutions.
- If f(x)= 4-x^2 + x^2-1 , then the maximum value of (f(x))^2 is
- Let f:(e, ) R be defined by f(x)= [ ( x)], then
- The equivalent definition of f(x)= -|1-x^2|, 2|x|-2, 1- 7|x| 2 is
- The value of the function f(x)=3 ( ^2 16 -x^2 ) lies in the interval
- If f(x)=x^2-2|x| and g(x)= cases f(t):-2 t x , & -2 x<0 f(t):0 t x , & 0 x 3 cases , then g(x) equals
- The function f:[0,3] [1,29] defined by f(x)=2x^3-15x^2+36x+1 is
- Let the function f:R R be defined by f(x)=2x+ x for x R. Then f is
- Find the minimum value of k= ^6x+ ^6x.
- Let f( )= 1 ^2 + 13 +7 ^2 . If m and M represent the minimum and maximum values of f( ), then evaluate 30m-M.
- Let (0, 4 ) and t_1=( )^ , t_2=( )^ , t_3=( )^ and t_4=( )^ , then
- The maximum value of + in [0, 2 ] is
- The maximum value of f(x)= x(1+ x) is
- The minimum value of 27^ 2x 81^ 2x is
- The maximum value of 12 -9 ^2 is
- The maximum value of (x+ 6 )+ (x+ 6 ) in the interval (0, 2 ) is attained at
- The minimum value of f(x)= ^4x+ ^4x, 0 x 2 , is
- The maximum of the function 3 x-4 x is
- The maximum value of 4 ^2x+3 ^2x is
- The minimum value of 1 3 -4 +7 is
- The number of solutions of y=e^x and y= x is
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