The curve `f(x)=(x^2+a x+b)/(x-10)` has a stationary point at `(4,1)` . Find the values of `a a n d b` . Also, show that `f(x)` has point of maxima at this point.

If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value of a and b .

The function f(x) = x^(x) , x to 0 , has a stationary point at

The function f(x)=x^(x) has a stationary point at

The function y= (ax+b)/(x-1)(x-4) has turning point at P(2,-1) Then find the values of a and b.

The function y=(a x+b)/((x-1)(x-4)) has turning point at P(2,1)dot Then find the value of a\ a n d\ bdot

If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,\ -1) , find the values of a and b and show that y is maximum at P .

f(x)={cos(pix)/2,x >0 x+a ,xlt=0 Find the values of a if x=0 is a point of maxima.

f(x)={cos(pix)/2,x >0, x+a ,xlt=0 Find the values of a if x=0 is a point of maxima.

If f(1)=4 , f^(prime)(1)=2 , find the value of the derivative of log(f(e^x)) with respect to x at the point x=0 .

Let f(x) = sin x (1+cos x) , x in (0,2pi). Find the number of critical points of f(x) . Also identify which of these critical points are points of Maxima // Minima.