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? asked in Science & MathematicsMathematics · 10 years ago

Can you differentiate this?

5ln 2t

differentiate with respect to t

so far I've put it to the power of 5 (ln 2t)^5 but i don't get how to differentiate inside the bracket

2 Answers

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  • 10 years ago
    Favorite Answer

    Ln u = u'/u

    So:

    y = 5ln 2t

    y' = 5 * (2t)' / 2t -->> And 2t' = 2

    y' = 10/2t = 5t

  • ?
    Lv 7
    10 years ago

    iT IS DY/DT = 5 / t

    if you did y= ln (2t)^5 , dy/dx = (1/(2t)^5 ) d/dt (2t)^5

    d/dt (2t)^5 = 5(2t)^4 d/dt (2t)

    = 10 (2t)^4

    dy/dx = (1/(2t)^5 ) (10 (2t)^4)

    dy/dx= 10 /(2t) =5 / t

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