Home
Class 11
MATHS
If g is the inverse function of fa n df...

If `g` is the inverse function of `fa n df^(prime)(x)=sinx ,t h e ng^(prime)(x)` is (a)`cos e c{g(x)}` (b) `"sin"{g(x)}` (c)`-1/("sin"{g(x)})` (d) none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

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

If g is the inverse of f and f'(x)=1/(1+x^n) , prove that g^(prime)(x)=1+(g(x))^n

If y=f(x)=x^3+x^5 and g is the inverse of f find g^(prime)(2)

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

If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e n(d u)/(d v) is

If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e n(d u)/(d v) is

If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e n(d u)/(d v) is a)3/2xcosx^3cos e cx^2 b)2/3sinx^3secx^2 c)tanx (d) none of these

Let g(x) be the inverse of an invertible function f(x) which is differentiable at x=c . Then g^(prime)(f(x)) equal. (a) f^(prime)(c) (b) 1/(f^(prime)(c)) (c) f(c) (d) none of these

If f(x)=|x-2| a n d g(x)=f[f(x)],t h e n g^(prime)(x)= ______ for x>20

Let e^(f(x))=lnxdot If g(x) is the inverse function of f(x), then g^(prime)(x) equal to: (a) e^x (b) e^x+x . (c) e^x+e^x (d) e^(e^x+x)