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h asked in Science & MathematicsMathematics · 3 years ago

Calculus Help?

Find the derivative of (9x+1)^3x.

I know the answer is (9x+1)^3x*(3ln(9x+1)+27x/(9x+1)).

Show work and explain thanks!

1 Answer

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  • DWRead
    Lv 7
    3 years ago

    Do you mean (9x+1)^3x, or (9x+1)^(3x) ?

    Let y = (9x+1)³ˣ.

    dy/dx = (9x+1)³ˣ[3ln(9x+1) + 27x/(9x+1)]

    Attachment image
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