`f(x)=(log x)/(x)`,x>0 is decreasing if x>`lambda` then value of `lambda` is

Sum of values of absolute maxima and minima of f(x)=(x^(2)+x+7)/(x^(2)-x+3)(x in R), is (lambda)/(11) then value of lambda is

If the function f(x)=sin(log x)-2cos(log x) is increasing in the interval (e^(lambda),e^(mu)) then sqrt(5)cos(mu-lambda) is equal to

If x(sgn x)(sgn x)+|x|(sgnx)^(3)=lambda x^(mu), then the value of lambda+mu is:

f(x)={{:(,[x]+[-x], x ne 0),(,lambda,x=0):} Find the value of lambda , f is continuous at x=0?

If 4x+8cos x+tanx-2 sec x-4 log {cos x(1+sinx)}ge 6 for all x in [0, lambda) then the largest value of lambda is

If 2^(f(x))=(2+x)/(2-x),x in(-2,2) and f(x)=lambda f((8x)/(4+x^(2))) then value of 'lambda' will be

If the roots of the equation x^(2)+3x+2=0 and x^(2)-x+lambda=0 are in the same ratio then the value of lambda is given by

Let f(x) be a function such that f(x)=log_((1)/(3))(log_(3)(sin x+a)). If f(x) is decreasing for all real values of x, then

If x - lambda is a factor of x^(4)-lambda x^(3)+2x+6 . Then the value of lambda is