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

The function f(x)=4x^(3)+ax^(2)+bx+2 has an extremum at (2,-2) , find the values of a and b . Show that , the function possesses a minimum value at the extreme point.

If f(x)=ax^(2)+bx+c and f(x - 1) = f(x) + 2x + 1. then find the values of a and b.

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 Y=((ax-b))/((x-4)(x-1)) has extreme value at (2,-1) then the value of (a+10b) must be

If f(x) = ax + b, f(0) = 2 and f(4) = 10, then find the values of a and b.

If f(x)=(ax+b)/((x-1)(x-4)) has an extreme value at (2,-1) , find a and b and show that the extreme value is a maximum.

If f(x)=(ax-b)/(bx-a) , then find the value of f(1/x) .

lf f(x)={(x^3, x 2):} , then find the value of f(-1)+f(1)+f(3) . Also find the value (s) of x for which f(x)=2.

f(x)=5-|x-1| . Find the maximum value of f(x) , also find the value of x for which f(x) is maximum.

Suppose that f is a polynomial of degree 3 and that f^(x)!=0 at any of the stationary point. Then f 1)has exactly one stationary point f 2)must have no stationary point f 3)must have exactly two stationary points f has 4)either zero or two stationary points.