Kyy010203 asked in 科學及數學數學 · 1 decade ago

F.5 MATHS

Let y=ln(x+√x).Find dx/dy in terms of x.

2 Answers

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  • 1 decade ago
    Favorite Answer

    Let y=ln(x+√x).Find dx/dy in terms of x. Soly=ln(x+√x)dy/dx=dln(x+√x)/dx=[dln(x+√x)/d(x+√x)]*[d(x+√x)/dx]=[1/(x+√x)]*[1+1/(2√x)]=[1/(x+√x)]*[(2√x+1)/(2√x)]=[1/(x+√x)]*[(2√x+1)/(2√x)]=[(2√x+1)/(2x√x+2x)]dx/dy=2x(√x+1)/(2√x+1)

  • 1 decade ago

    Can dx/dy answer in terms of x?

    I wonder.

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