_______ \/ x - 3 / 2*x\ \7 + E /
(7 + E^(2*x))^(sqrt(x - 3))
No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Simplificamos:
Respuesta:
_______ \/ x - 3 / / 2*x\ _______ 2*x\ / 2*x\ |log\7 + E / 2*\/ x - 3 *e | \7 + E / *|------------- + ----------------| | _______ 2*x | \ 2*\/ x - 3 7 + E /
/ 2 \ |/ / 2*x\ ________ 2*x\ | ||log\7 + e / 4*\/ -3 + x *e | | ________ ||------------- + -----------------| | \/ -3 + x || ________ 2*x | / 2*x\ ________ 4*x 2*x ________ 2*x| / 2*x\ |\ \/ -3 + x 7 + e / log\7 + e / 4*\/ -3 + x *e 2*e 4*\/ -3 + x *e | \7 + e / *|------------------------------------ - ------------- - ----------------- + --------------------- + -----------------| | 4 3/2 2 ________ / 2*x\ 2*x | | 4*(-3 + x) / 2*x\ \/ -3 + x *\7 + e / 7 + e | \ \7 + e / /
/ 3 / / 2*x\ ________ 2*x\ / / 2*x\ ________ 2*x 2*x ________ 4*x\ \ |/ / 2*x\ ________ 2*x\ |log\7 + e / 4*\/ -3 + x *e | |log\7 + e / 16*\/ -3 + x *e 8*e 16*\/ -3 + x *e | | ||log\7 + e / 4*\/ -3 + x *e | 3*|------------- + -----------------|*|------------- - ------------------ - --------------------- + ------------------| | ________ ||------------- + -----------------| | ________ 2*x | | 3/2 2*x ________ / 2*x\ 2 | | \/ -3 + x || ________ 2*x | \ \/ -3 + x 7 + e / | (-3 + x) 7 + e \/ -3 + x *\7 + e / / 2*x\ | / 2*x\ ________ 4*x 4*x 2*x ________ 2*x ________ 6*x 2*x | / 2*x\ |\ \/ -3 + x 7 + e / \ \7 + e / / 3*log\7 + e / 24*\/ -3 + x *e 6*e 6*e 8*\/ -3 + x *e 16*\/ -3 + x *e 3*e | \7 + e / *|------------------------------------ - ----------------------------------------------------------------------------------------------------------------------- + --------------- - ------------------ - ---------------------- + --------------------- + ----------------- + ------------------ - ------------------------| | 8 8 5/2 2 2 ________ / 2*x\ 2*x 3 3/2 / 2*x\| | 8*(-3 + x) / 2*x\ ________ / 2*x\ \/ -3 + x *\7 + e / 7 + e / 2*x\ 2*(-3 + x) *\7 + e /| \ \7 + e / \/ -3 + x *\7 + e / \7 + e / /