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Math Help - Derivative power rule...

  1. #1
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    Derivative power rule...

    hello..is this question correct?

    find the derivative of F(x): x^9 + X^2 +1

    using the power law i got: 9x^8 + 2x +1

    now the derivative of a sum:

    (derivative of 9x^8) + (derivative of 2x) + 1

    answer:

    72x^7+252x^6 y +504x^5 y^2 +630x^4 y^3 +504x^3 y^4 +252x^2 y^5 +72x y^6 +y^7 +3.

    where y=delta X. as y approaches to 0.

    final answer: 72x^7 +3

    is it correct?? we dont know how to prove it with integration...we'll know it later...tks
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  2. #2
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    Opalg's Avatar
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    The derivative of a constant is 0. The derivative of x^9 + X^2 +1 is 9x^8 + 2x. The derivative of 9x^8 + 2x is 72x^7 + 2.
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