# Calculus

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y=x^logbase5(x)

• Calculus -

lny = log_5(x) lnx
= lnx/ln5 lnx
= 1/ln5 ln^2(x)

1/y y' = 1/ln5 * 2lnx * 1/x
y' = 2y lnx / x ln5
= 2lnx/ln5 x^(log_5(x)-1)
= 2log_5(x) x^(log_5(x)-1)

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