Home
Class 12
MATHS
Let f(x)=x+ sin x . Suppose g denotes th...

Let `f(x)=x+ sin x` . Suppose g denotes the inverse function of f. The value of `g'(pi/4+1/sqrt2)` has the value equal to

A

`sqrt(2)-1`

B

`(sqrt(2)+1)/(sqrt(2))`

C

`2-sqrt(2)`

D

`sqrt(2)+1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Solved Examples (Matching Type Questions )|1 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=int_2^x (dt)/sqrt(1+t^4) and g be the inverse of f . Then, the value of g'(0) is

If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x) is

Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(2)=a then g'(2) is equal to

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals to ........ .

If g is te inverse of a function f and f'(x) = 1/(1+x^5) then g'(x) is equal to

If f(x)=x + tan x and f si the inverse of g, then g'(x) equals

If g is the inverse function of and f'(x) = sin x then prove that g'(x) = cosec (g(x))

Let f(x) = exp(x^3 +x^2+x) for any real number and let g(x) be the inverse function of f(x) then g'(e^3)

Let f(x)=sqrt([sin 2x] -[cos 2x]) (where I I denotes the greatest integer function) then the range of f(x) will be

Fill in the blanks so that the resulting statement is correct. Let f(x) = [x + 2] sin((pi)/([x + 1])) , where [*] denotes greatest integral function. The domain of f is ……….and the points of discontinuity of f in the domain are