Continuity and DifferentiabilityHard

Question

If x^y . y^x = 1, then equals to

Options

A.

B.

C.

D.

Solution

x^y . y^x = 1 ⇒ y lnx + x lny = 0
Diff. w.r.t. x, we get

. lnx + + lny +

Create a free account to view solution

View Solution Free

Topic: Continuity and Differentiability·Practice all Continuity and Differentiability questions

More Continuity and Differentiability Questions

The function f(x) is...If x3 − y3 + 3xy2 − 3x2y + 1 = 0, then at (0,1) dy/dx equals-...If f(x) = , then the function f(x) is differentiable for -...If f (x) = is differentiable at x = 0, then-...Let ƒ(x) = sinx, g (x) = x2 and h(x) = logex. if F(x) = (hog of) (x), then F′′(x) is equal to-...