Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 weeks ago

calc help?

let e(m)= 3x8 9^(mx) +e^x, for x is a constant, find the derivative. I think x being a constant is throwing me off a little. Any help would be appreciated.

1 Answer

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  • 3 weeks ago

    Transcription error.

    Did you mean e(m) = 3(x^8) * 9^(mx) + e^x ?

    If x is a constant, then it does not differentiate separately.

    e(m) = 3(x^8) * e^ln(9^(mx)) + e^x

    = 3(x^8) * e^(mx * ln(9)) + e^x

    de/dm = = 3(x^8) * [x* ln(9)]m * e^(mx * ln(9)) … note that d/dm e^x = 0

    { which can be stated 3(x^8) * [x* ln(9)]m * 9^(mx) }

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