If the function `f(x)=sin^(-1)((2x)/(1+x^(2)))` is not differentiable at x=a, x=b where,`bgta` then the value of 5b-4a

Find the values of aandb if f(x)={a+sin^(-1)(x+b),x>=1 and x,x< is differentiable at x=1

If the function f(x)={{:(,-x,x lt 1),(,a+cos^(-1)(x+b),1 le xle 2):} is differentiable at x=1, then (a)/(b) is equal to

find the values of a and b, such that f(x)={x^(2)+1,x is differentiable at x=1

If f(x)={{:(a+tan^(-1)(x-b),,,x ge1),((x)/(2),,,xlt1):} is differentiable at x = 1, then 4a-b can be

If range of the function f(x)=(3sin x-1)(3sin x-2) is [a,b] , then a+ b=

Number of points where the function f(x)=(x^(2)-1)|x^(2)-x-2|+sin(|x|) is not differentiable,is: (A) 0 (B) 1 (C) 2 (D) 3

The function f(x)=e^(x)+x, being differentiable and one-to-one,has a differentiable inverse f^(-1)(x) .The value of (d)/(dx)(f^(-1)) at the point f(log2) is (a) (1)/(1n2) (b) (1)/(3)( c) (1)/(4) (d) none of these

The range of the function f(x)=cot^(-1)((sqrt(3)x^(2))/(1+x^(2))) is (a, b) then the value of b/a is