Home
Class 12
MATHS
If f(x)=(ax+b)/((x-1)(x-4)) has an extre...

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.

Text Solution

Verified by Experts

The correct Answer is:
a=1 and b=0
Promotional Banner

Similar Questions

Explore conceptually related problems

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)=alog|x|+b x^2+x has extreme values at x=-1 a n d a t x=2, then find a and b .

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

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.

If f(x)=x^2+ax+bandf(1)=1,f(2)=2, find the value of f(3).

If f(x)= 4^x/(4^x-2) then find the value f(x)+f(1-x).

If f(x)= (1)/(4x^(2) + 2x + 1) then its maximum value is -

a, b in RR be such that the function f given by f(x)=ln|x|+bx^(2)+ax,xne0 has extreme values at x=-1 and x = 2. Statement-I : f has local maximum at x = -1 and at x = 2. Statement-II : a=(1)/(2)" and "b=-(1)/(4) .

Let a, binR be such that the function f given by f(x)=ln|x|+bx^2+ax,xne0 has extreme values at x = -1 and x = 2 Statement 1:f has local maximum ar x=-1 and x=2. Statement 2: a=1/2 and b=1/4