Use derivative of ln(u) and the Chain Rule (Chain Rule will require use of the Product Rule):
f'(x) = (1/(xe^(sqrt(x)) + 1)(e^(sqrt(x)) + (x)(e^(sqrt(x)))((1/2)(x^(-1/2))
Simplify to:
(e^(sqrt(x)) + ((sqrt(x))(e^(sqrt(x)))/2) / (xe^(sqrt(x)) + 1)
Tyler S.
asked • 12/14/19Find the derivative.
f(x)=ln(xesqrt(x)+1)
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