Home
Class 12
MATHS
tan^(-1)((sqrt(x))/(1+20x))...

`tan^(-1)((sqrt(x))/(1+20x))`

Text Solution

AI Generated Solution

To find the derivative of the function \( y = \tan^{-1}\left(\frac{\sqrt{x}}{1 + 20x}\right) \), we will use the chain rule and the quotient rule. Let's go through the steps one by one. ### Step 1: Identify the function We have: \[ y = \tan^{-1}\left(\frac{\sqrt{x}}{1 + 20x}\right) \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for Practice (Differentiate)|4 Videos
  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ|15 Videos
  • DIFFERENTIATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Examples for Practice|12 Videos
  • DIFFERENTIAL EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise M.C.Q|12 Videos
  • INTEGRATION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Multiple Choice Questions|15 Videos

Similar Questions

Explore conceptually related problems

tan^(-1)(sqrt((1-x)/(1+x)))

int tan^(-1)(sqrt((1-x)/(1+x))dx

tan^(-1)((sqrt(x)(3-x))/(1-3x))

Integrate the functions tan^(-1)sqrt((1-x)/(1+x))

Simplify tan^(-1)((sqrt(1+x^2)-1)/x)

Simplify :sin[2tan^(-1)sqrt((1-x)/(1+x))]

Evaluate: int tan^(-1)sqrt((1-x)/(1+x))dx

tan^(-1)((sqrt(1+x)+sqrt(1-x))/(sqrt(1+x)-sqrt(1-x)))

Prove that tan^(-1) ((1-sqrt(x))/(1+sqrt(x))) = pi/4 - tan^(-1) sqrt(x) , "where" x gt 0

Prove that: i) tan^(-1)(sqrt(x)+sqrt(y))/(1-sqrt(xy))=tan^(-1)sqrt(x)+tan^(-1)sqrt(y) ii) tan^(-1)(x+sqrt(x))/(1-x^(3//2))=tan^(-1)x+tan^(-1)sqrt(x) iii) tan^(-1)(sinx)/(1+cosx)=x/2