Home
Class 12
MATHS
If f(x)=x tan^(-1) x, then what is f'(1)...

If `f(x)=x tan^(-1) x`, then what is `f'(1)`?

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)+(pi)/(4)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=tan^(-1)(cot x) , then find f'(x) .

If f(x)=(x-1)/(x+1) ,then show that f(-1/x)=-1/f(x) .

If f(x)=(x-1)/(x+1) ,then show that f(1/x)=-f(x) .

If f(x)=x^(x) , then find f'(x) .

If f:RrarrR is given by f(x)=(3-x^3)^(1//3) , then find fof (x)

Is the function f(x)= tan^(-1)x strictly increasing?

If f(x)=1/x and g(x)=0 show that fog is not defined.

If the sum of the ascute angles tan^(-1)x and "tan"^(-1) (1)/(2) is 45^(@) , then what is the value of x?

If f(x)=(2x+1)/(3x-2)=y ,show that x=f(y).

If f : [-1,prop[rarr[-1,prop[, f(x)=(x+1)^2-1 , find the set S = {x : f(x)=f^-1(x)} .