Calculus I

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  • #13251

    Ezra Halleck
    Participant

    3.9: Use logarithmic differentiation to find the derivative of

    #16811

    Danielle Telemaque
    Participant

    f(t) = t^(sin(t))

    y= t^(sin(t))

    ln(y)= ln (t^(sin(t))

    ln(y)= sin(t)*ln(t)

    (1/y)* y’= sin^(t) * (1/t) + ln(t)* cos(t)

    y’ = y [ sin^(t) * (1/t) + ln(t)* cos(t) ],……(multiply both sides by y)

    y’ = t^(sin(t)) * [ (sin(t)/t) + ln(t)* cos(t) ]

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