Let y be an implict function of x define...

Let y be an implict function of x defined by `x^(2x)-2x^(x) cot y -1 = 0`. Then `y^(')(1)` equals

A

`-1`

B

1

C

log 2

D

`- log 2`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The function defined by y = x^(2) is

Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is :

If x + y + 2 =0, then x^(3) + y^(3) + 8 equals to :

Prove that the function f: N to Y defined by f(x) = x^(2) , where y = {y : y = x^(2) , x in N} is invertible. Also write the inverse of f(x).

Let f((x+y)/2) = (f(x)+f(y))/2 for all real values of x and y. If f^(')(0) exists and equals -1 and f(0) =1, then f^(')(2) is equal to

If y is a function of x and log(x+y)-2xy=0 , then y'(0) is equal to :

If f(x+2y , x-2y)=x y , then f(x,y) equals

Let f be function satisfying f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x) , for all x and y, where g(x) is a continuous function. Then f'(x) is :