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Find the derivatives w.r.t. x : tan^(-1...

Find the derivatives w.r.t. x :
`tan^(-1)(sec x)`

Text Solution

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The correct Answer is:
`(sin x)/(1+cos^(2)x)`
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CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3A (Very Short Answer Type Questions)
  1. Find the derivatives w.r.t. x : (cot^(-1)x)^(4)

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  2. Find the derivatives w.r.t. x : ("cos"^(-1)(x)/(a))^(3)

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  3. Find the derivatives w.r.t. x : tan^(-1)(sec x)

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  4. Find the derivatives w.r.t. x : cos x^(3)*sin^(2)(x^(5))

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  5. Find the derivatives w.r.t. x : cos(x^(3))*sin^(2)(x^(5))

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  6. Find the derivatives w.r.t. x : "sin"^(-1)(2x)/(1+x^(2))

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  7. Find the derivatives w.r.t. x : sin^(-1)(e^(x^(2)))

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  8. Find the derivatives w.r.t. x : sin 4x cos x

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  9. Find the derivatives w.r.t. x : 4 sin 2x sin 6x

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  10. Find the derivatives w.r.t. x : e^(ax)cos bx

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  11. Find the derivatives w.r.t. x : sin x sin 2x sin 3x

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  12. Find the derivatives w.r.t. x : sin^(p) x cos^(q) x

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  13. Find the derivatives w.r.t. x : (sin^(p)x)/(cos^(q)x)

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  14. Find the derivatives w.r.t. x : e^(x) sinx cos^(2)x

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  15. Find the derivatives w.r.t. x : sqrt(x^(2)+1)-log[(1)/(x)+sqrt(1+(1)...

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  16. Find the derivatives w.r.t. x : log(ax)^(x)

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  17. Find the derivatives w.r.t. x : x^(5)+(6)/(x)-tan(x^(2))

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  18. Find the derivatives w.r.t. x : log sin (sqrt(x^(2)+1))

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  19. Find the derivatives w.r.t. x : 2xtan^(-1)x -log(1+x^(2))

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  20. Find the derivatives w.r.t. x : cot^(-1) sqrt((1-sinx)/(1+sinx))(0 l...

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