Home
Class 12
MATHS
If y = e^(asin^(-1)x) then prove that (d...

If `y = e^(asin^(-1)x)` then prove that `(dy)/(dx) = (ay)/(sqrt(1 - x^2))`

Promotional Banner

Topper's Solved these Questions

  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise APPLICATIONS OF DERIVATIVES|48 Videos
  • IPE SCANNER (TEXTUAL BITS)

    SRISIRI PUBLICATION|Exercise LIMITS & CONTINUITY|59 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    SRISIRI PUBLICATION|Exercise SAQ (2D Hard Q, 3D Mis. Q)|11 Videos
  • IPE SCANNER (TEXUAL BITS)

    SRISIRI PUBLICATION|Exercise Very Short Questions (2 marks) (Hyperbolic Functions)|23 Videos

Similar Questions

Explore conceptually related problems

If y=e^(a sin^(-1)x) then prove that dy/dx=(ay)/(sqrt(1-x^(2)) .

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

If x=tan(e^(-y)) , then show that (dy)/(dx)=(-e^y)/(1+x^2) .

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

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

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

If x^(y) + y^(x) = a^(b) then prove that (dy)/(dx)=-[(yx^(y-1)+y^(x)Logy)/(x^(y)Logx+xy^(x-1))] .

Solve (dy)/(dx)+1=e^(x+y)

If y= Tan^(-1)""(sqrt(1+x^2) -1)/x then (dy)/(dx)=