Home
Class 12
MATHS
If y=sqrt(log{sin((x^2)/3-1)}),t h e nf...

If `y=sqrt(log{sin((x^2)/3-1)}),t h e nfin d(dy)/(dx)dot`

Text Solution

AI Generated Solution

To find the derivative of the function \( y = \sqrt{\log(\sin(\frac{x^2}{3} - 1))} \), we will use the chain rule and implicit differentiation. Let's break it down step by step. ### Step 1: Rewrite the function We start with the function: \[ y = \sqrt{\log(\sin(\frac{x^2}{3} - 1))} \] To make differentiation easier, we can express it as: ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Solved Examples|28 Videos
  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Concept Application 3.1|1 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise Matrix Match Type|5 Videos
  • DOT PRODUCT

    CENGAGE ENGLISH|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

If x y+y^2=tanx+y ,t h e nfin d(dy)/(dx)dot

If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a) x/(2y-1) (b) x/(2y+1) (c) 1/(x(2y-1)) (d) 1/(x(1-2y))

If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),t h e nfin d(dy)/(dx)a tt=2.

If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2]) and 0

If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to (a) x+y (b) 1+x y (c) 1-x y (d) x y-2

If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to x+y (b) 1+x y 1-x y (d) x y-2

If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to x+y (b) 1+x y 1-x y (d) x y-2

If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is (a)2 (b) 1 (c) -2 (d) none of these

If x=(1+logt)/(t^2),y=(3+2logt)/t ,"f i n d"(dy)/(dx)dot