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sin^(-1)(3x-4x^(3))...

`sin^(-1)(3x-4x^(3))`

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The correct Answer is:
`3/(sqrt(1-x^(2)))`
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3sec^(-1)(1/x)-sin^(-1)(4x^(3)-3x)=

3sin^(-1)x=sin(3x-4x^(3)),x in[-(1)/(2),(1)/(2)]

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

y=sin^(-1)(3sin x-4sin^(3)x)" ,then "(dy)/(dx) at x= (sqrt(3))/(2) is

If f(x)=sin^(-1)x then prove that lim_(x rarr(1)/(2))f(3x-4x^(3))=pi-3lim_(x rarr(1)/(2))sin^(-1)x

lim_(x rarr0)(sin^(-1)x+3x)/(tan x+2sin((1)/(2)sin^(-1)x)[3-4sin^(2)((1)/(2)sin^(-1)x)])=

Let cos^(-1)(4x^(3)-3x)=a+b cos^(-1)x Q. If x in [-(1)/(2), (1)/(2)] , then sin^(-1)("sin"(a)/(b)) is :

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy sin^(-1)((3x)/(5))+sin^(-1)((4x)/(5))=sin^(-1)x is equal to :

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(e) (SHORT ANSWER TYPE QUESTIONS)
  1. Differentiate the following w.r.t. x : xsec^(-1)x.

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  2. Differentiate the following w.r.t. x : cos^(-1)(sinx)

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  3. Differentiate the following w.r.t. x: (i)sin^(-1)2x" "(ii)tan^(-...

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  4. Differentiate the following w.r.t. x : (cot^(-1)x)^(2)

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  5. Differentiate the following w.r.t. x : sin(2sin^(-1)x)

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  6. Find the derivatives w.r.t. x : tan^(-1)((sinx)/(1+cosx))

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  7. "Tan"^(-1)(cosx)/(1+sinx)=

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  8. cot^(-1)((1+cosx)/(sinx))

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  9. Differentiate the following w.r.t. x : sin^(-1)(1-2x^(2))

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  10. sin^(-1)(3x-4x^(3))

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  11. Differentiate the following w.r.t. x : cos^(-1)(4x^(3)-3x),-1ltxlt1

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  12. Differentiate the following w.r.t. x : sin^(-1)((2x)/(1+x^(2))),-1lt...

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  13. "cosec"^(-1)((1+x^(2))/(2x))

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  14. Differentiate the following w.r.t. x : sin^(-1)((1-x^(2))/(1+x^(2)))...

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  15. Differentiate the following w.r.t. x : cos^(-1)((1-x^(2))/(1+x^(2)))...

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  16. Differentiate the following w.r.t. x : cos^(-1)((2x)/(1+x^(2))),-1lt...

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  17. Differentiate the following w.r.t. x : tan^(-1)((2x)/(1-x^(2))),0ltx...

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  18. tan^(-1)((3x-x^(3))/(1-3x^(2)))

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  19. निम्न फलन का x के सापेक्ष अवकल गुणांक ज्ञात कीजिए - tan ^(-1) [(x^(1/...

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  20. "tan"^(-1)(x)/(sqrt(a^(2)-x^(2)))

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