Respuesta:
d/dx(3^(cot(1/x)))
d3^u)/( du) = 3^u log(3):
log(3) 3^(cot(1/x)) (d/dx(cot(1/x)))
d/dx(cot(1/x)) = -csc^2(u) ( du)/( dx)
u = 1/x and ( dcot(u))/( du) = -csc^2(u):
log(3) 3^(cot(1/x)) (-csc^2(1/x) (d/dx(1/x)))
respuesta:
| -((-1/x^2) log(3) 3^(cot(1/x)) csc^2(1/x))
Explicación paso a paso:
corona plis
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Respuesta:
d/dx(3^(cot(1/x)))
d3^u)/( du) = 3^u log(3):
log(3) 3^(cot(1/x)) (d/dx(cot(1/x)))
d/dx(cot(1/x)) = -csc^2(u) ( du)/( dx)
u = 1/x and ( dcot(u))/( du) = -csc^2(u):
log(3) 3^(cot(1/x)) (-csc^2(1/x) (d/dx(1/x)))
respuesta:
| -((-1/x^2) log(3) 3^(cot(1/x)) csc^2(1/x))
Explicación paso a paso:
corona plis