___________ \/ log(16*x) x
x^(sqrt(log(16*x)))
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Perola derivada
Respuesta:
___________ / ___________ \ \/ log(16*x) |\/ log(16*x) log(x) | x *|------------- + -----------------| | x ___________| \ 2*x*\/ log(16*x) /
/ 2 \ | / ___________ log(x) \ | | |2*\/ log(16*x) + -------------| | ___________ | | ___________| | \/ log(16*x) | 1 ___________ \ \/ log(16*x) / log(x) log(x) | x *|------------- - \/ log(16*x) + ---------------------------------- - --------------- - --------------| | ___________ 4 ___________ 3/2 | \\/ log(16*x) 2*\/ log(16*x) 4*log (16*x)/ ---------------------------------------------------------------------------------------------------------------------- 2 x
/ 3 \ | / ___________ log(x) \ / ___________ log(x) \ / 4 ___________ log(x) 2*log(x) \ | | |2*\/ log(16*x) + -------------| 3*|2*\/ log(16*x) + -------------|*|- ------------- + 4*\/ log(16*x) + ------------ + -------------| | ___________ | | ___________| | ___________| | ___________ 3/2 ___________| | \/ log(16*x) | 3 ___________ 3 \ \/ log(16*x) / log(x) \ \/ log(16*x) / \ \/ log(16*x) log (16*x) \/ log(16*x) / 3*log(x) 3*log(x) | x *|- ------------- + 2*\/ log(16*x) - -------------- + ---------------------------------- + ------------- - ------------------------------------------------------------------------------------------------------ + -------------- + --------------| | ___________ 3/2 8 ___________ 8 3/2 5/2 | \ \/ log(16*x) 4*log (16*x) \/ log(16*x) 4*log (16*x) 8*log (16*x)/ ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 3 x