Differentiate sin^(-1)(3x-4x^3) with res...

Differentiate `sin^(-1)(3x-4x^3)` with respect to `x` , if `1/2

Verified by Experts

The correct Answer is:

`3/sqrt(1-x^2)`

Continuity and Differentiability
NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5g|12 Videos
Continuity and Differentiability
NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5h|26 Videos
Continuity and Differentiability
NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5e|19 Videos
APPLICATIONS OF INTEGRALS
NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos
DETERMINANTS
NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Differentiate sin^(-1)(3x-4x^3) with respect to x , if (i) -1/2ltxlt1/2 (ii) 1/2ltxlt1 (iii) -1ltxlt-1/2

Differentiate sin^(-1)(x^3) with respect to x :

Differentiate sin^(-1)sqrt(1-x^2) with respect to x

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x , if 1/(sqrt(2))

Differentiate (sin^(-1)x^4)^4 with respect to x :

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x if 1/(sqrt(2)) < x < 1

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x .

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x ,

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x , if -1/(sqrt(2))

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x'

Differentiate tan^(-1)((2x)/(1-x^2)) with respect to x , if x in (-1,\...
Text Solution
|
sec^(-1)((1)/(4x^(3)-3x)),0ltxlt(1)/(sqrt(2))
Text Solution
|
Differentiate sin^(-1)(3x-4x^3) with respect to x , if 1/2<x<1
Text Solution
|
tan^-1((1+x)/(1-x))
Text Solution
|
cos^(-1)((1-x^(2n))/(1+x^(2n)))
Text Solution
|
If cos^-1((x)/sqrt(1+x^2)) then find dy/dx
Text Solution
|
Differentiate tan^(-1)((a+x)/(1-a x)) with respect to x
Text Solution
|
If y=cos^(-1)((x-x^(-1))/(x+x^(-1))), then (dy)/(dx) is
Text Solution
|
Find the derivative of the following function with respect to 'x' cot...
Text Solution
|
Differentiate tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)),\ -1/(sqrt(3))<x/a<1/...
Text Solution
|
tan^-1""((3-5x)/(1+15x))
Text Solution
|
tan^-1((5x)/(1-6x^2))
Text Solution
|
Differentiate w.r.t x tan^-1((2x)/(1+15x^2))
Text Solution
|
Differentiate tan^-1((4sqrt(x))/(1-4x))
Text Solution
|
sin^-1[xsqrt(1-x)-sqrt(x)sqrt(1-x^2)]
Text Solution
|
sec^-1((x-1)/(x+1))+sin^-1((x+1)/(x-1))
Text Solution
|
"Find" (dy)/(dx)"if" y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0
Text Solution
|
y=tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)))
Text Solution
|
Prove that sin [2 tan^(-1) {sqrt((1 -x)/(1 + x))}] = sqrt(1 - x^(2))
Text Solution
|
Differentiate the following functions with respect to x : tan^(-1){sqr...
Text Solution
|