Local min.of `atanx +bcotx`

The minimum value of f(x)=atanx+bcotx" is " 2sqrt(ab) and " attains at "tanx=sqrt(b//a)

Evaluate: int(atanx+bcotx)^2\ dx

Evaluate the following integrals : int(atanx+bcotx)^2dx

Local maximum and local minimum and condition for it

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximm and local minimum values: f(x) =x^2

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=x^(2)

Find the points of local maxima or local minima,if any,and local maximum or local minimum values of f(x)=sin x+cos x where ' 0

f has a local maximum at x = a and local minimum at x = b. Then -

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximm and local minimum values: f(x) =x^3-3x