Home
Class 12
MATHS
co sec^(-1)((1)/(3x-4x^(3)))...

`co sec^(-1)((1)/(3x-4x^(3)))`

Text Solution

AI Generated Solution

To differentiate the expression \( y = \sec^{-1}\left(\frac{1}{3x - 4x^3}\right) \), we will follow these steps: ### Step 1: Rewrite the expression Let \( z = 3x - 4x^3 \). Then, we can rewrite the expression as: \[ y = \sec^{-1}\left(\frac{1}{z}\right) \] ...
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

If y=cos ^(-1) ((1)/( 3x-4x^(3))) ,then (dy)/(dx)

Derivative of sec^(-1)((1)/(1-2x^(2))) w.r.t. sin^(-1)(3x-4x^(3)) is

If y=sec^(-1)(1/(4x^(3)-3x)),"find "dy/dx .

Differentiate w.r.t. x: (i)cos^(-1)(4x^(3)-3x)" "(ii)sin^(-1)((1-x^(2))/(1+x^(2)))" "(iii)sec^(-1)((x^(2)+1)/(x^(2)-1))

3sec^(-1)(1/x)-sin^(-1)(4x^(3)-3x)=

If x in [-1,-1/2] then express the function f(x)=sin^(-1) (3x-4x^(3))+cos^(-1) (4x^(3)-3x) in the form of a cos^(-1) x+bpi , where a and b are rational numbers.

The sum of all possible values of x satisfying the equation sin^(-1)(3x-4x^(3))+cos^(-1)(4x^(3)-3x)=(pi)/(2) is

int_(-(1)/(sqrt(3)))^(-(1)/(sqrt(3)))(x^(4))/(1-x^(4))cos^(-1)((2x)/(1+x^(2)))dx

Prove that: 3cos^(-1)x=cos^(-1)(4x^(3)-3x),x in[(1)/(2),1]

Prove that cos^(-1)(3x-4x^3)=3cos^(-1)x,x in[1/2,1]