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anonymous

  • 5 years ago

Find the derivative of y= x arc cos x - (1-x^2)^(1/2)

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  1. anonymous
    • 5 years ago
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    use product rule and chain rule

  2. amistre64
    • 5 years ago
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    can you clean up the equation any?

  3. anonymous
    • 5 years ago
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    think its arccos(x), is the final answer

  4. anonymous
    • 5 years ago
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    i have seen questions like this before

  5. anonymous
    • 5 years ago
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    Does the following look OK? \[-\frac{2 x}{\sqrt{1-x^2}}+\text{ArcCos}[x] \]

  6. anonymous
    • 5 years ago
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    "differentiate this ..... hence find integral of arccos(x)

  7. anonymous
    • 5 years ago
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    yeh that looks correct ^

  8. anonymous
    • 5 years ago
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    then a very common question to have after this would be to find integral of arccos(x)

  9. anonymous
    • 5 years ago
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    \[\int\limits \left(-\frac{2 x}{\sqrt{1-x^2}}+\text{ArcCos}[x]\right) \, dx=\sqrt{1-x^2}+x \text{ArcCos}[x] \]

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