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Math Help - Differentiation (2)

  1. #1
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    Differentiation (2)

    Hello!

    Differentiate x[(9 - (x^2))^(1/2)] + 9 [sin^(-1) (x/3)], leaving your answer in the form of [a(b-x^2)^(1/2)]

    Thank you for helping!
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by Tangera View Post
    Hello!

    Differentiate x[(9 - (x^2))^(1/2)] + 9 [sin^(-1) (x/3)], leaving your answer in the form of [a(b-x^2)^(1/2)]

    Thank you for helping!
    it's just a long differentiation and simplification..
    what have you done so far?
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  3. #3
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    Hello!

    So far I got [18 - 2(x^2)]/ square root of [9 - (x^2)]... but it is not in the form the question asked for...
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  4. #4
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by Tangera View Post
    Hello!

    So far I got [18 - 2(x^2)]/ square root of [9 - (x^2)]... but it is not in the form the question asked for...

    assuming you are correct, multiply it with \frac{\sqrt{9-x^2}}{\sqrt{9-x^2}} (of course, assuming that x is not +-3.. )
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