Home
Class 12
MATHS
If y = sin(log(e) x) prove that (dy)/(dx...

If `y = sin(log_(e) x)` prove that `(dy)/(dx) = sqrt(1-y^2)/x`

Text Solution

Verified by Experts

The correct Answer is:
`=(sqrt(1-y^2))/(x)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS|28 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    SUBHASH PUBLICATION|Exercise FOUR MARKS QUESTIONS WITH ANSWERS|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|6 Videos

  • CONSTRUCTIONS

    SUBHASH PUBLICATION|Exercise QUESTION|1 Videos

  • DETERMINANT

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|10 Videos

Similar Questions

Explore conceptually related problems

If sqrt(1 -x^2) + sqrt(1 - y^2) = a(x - y) prove that (dy)/(dx) = (sqrt(1 - y^2))/(sqrt(1-x^2)) .

If y^(x) = e^(y -x) , prove that (dy)/(dx) = ((1 + log y)^2)/(log y) .

if y=(xsinx)/(log_(e)x), then find (dy)/(dx)

If sqrt(x) + sqrt(y) = sqrt(a) , prove that (dy)/(dx) = -sqrt(y/x) .

If x^(y) = a^(x) , prove that (dy)/( dx) = ( x log _(e) a -y)/( x log_(e) x)

x = sqrt(a^(sin^(-1)t)), y=sqrt(a^(cos^(-1)t)) , Prove that: (dy)/(dx) = -y/x

If x = e^(x/y) , prove that (dy)/(dx) = (x-y)/(x log x) .

If x=sqrt(a^(sin^(-1)t)) then prove that (dy)/(dx)=(-y)/(x)

If y = e^(sin(log x)) , then dy/dx =