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cwrw238 Group Title

Differentiate sin(sin(sin x))

  • 2 years ago
  • 2 years ago

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  1. cwrw238 Group Title
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    i've done it by i want it checked

    • 2 years ago
  2. waterineyes Group Title
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    \[\frac{d}{dx}(\sin(\sin(\sin(x)) = \cos(\sin(\sin(x))) \times \cos(\sin(x)) \times \cos(x)\]

    • 2 years ago
  3. cwrw238 Group Title
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    yup - thanx

    • 2 years ago
  4. cwrw238 Group Title
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    you're pretty fast - it took me a while to figure that out

    • 2 years ago
  5. waterineyes Group Title
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    How??

    • 2 years ago
  6. cwrw238 Group Title
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    i used the chain rule

    • 2 years ago
  7. waterineyes Group Title
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    Always remember: \[\frac{d}{dx}(f(x)) = \frac{d}{dx}(f(x)) \times \frac{d}{dx}(x)\]

    • 2 years ago
  8. cwrw238 Group Title
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    - maybe its because i'm not too keen on calculus lol

    • 2 years ago
  9. waterineyes Group Title
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    So \[\frac{d}{dx}(\sin(\sin(\sin(x)) = \cos(\sin(\sin(x))) \times \frac{d}{dx}(\sin(\sin(x))\] \[\cos(\sin(\sin(x))) \times \frac{d}{dx}(\sin(\sin(x)) \implies \cos(\sin(\sin(x))) \times \cos(\sin(x)) \times \frac{d}{dx}(\sin(x))\]

    • 2 years ago
  10. waterineyes Group Title
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    \[\cos(\sin(\sin(x))) \times \cos(\sin(x)) \times \frac{d}{dx}(\sin(x)) = \cos(\sin(\sin(x))) \times \cos(\sin(x)) \times \cos(x) (1) \]

    • 2 years ago
  11. waterineyes Group Title
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    \[\cos(\sin(\sin(x))) \times \cos(\sin(x)) \times \cos(x) \times \frac{d}{dx}(x)\] \[\implies \cos(\sin(\sin(x))) \times \cos(\sin(x)) \times \cos(x)\]

    • 2 years ago
  12. waterineyes Group Title
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    One by one we have to take all the derivative..

    • 2 years ago
  13. cwrw238 Group Title
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    yes - i think i just need some practice in these to speed me up

    • 2 years ago
  14. cwrw238 Group Title
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    ty

    • 2 years ago
  15. waterineyes Group Title
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    You are quite intelligent I believe.. Just a little more practice will give you command over this..

    • 2 years ago
  16. waterineyes Group Title
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    Welcome dear..

    • 2 years ago
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