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9 Questions

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S.1 Cálculo Derivadas Logarítmicas

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Questions and Answers

Qual es le valore de ln1?

Und.

0 (correct)

Qual es le valore de ln0?

Und.

Qual es le valore de e^0?

Qual es le valore de e^lna?

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Qual es le valore de lne^a?

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Qual es le formula pro dy/dx (a^x)?

a^xlna Signup and view all the answers

Qual es le formula pro dy/dx (e^x)?

e^x Signup and view all the answers

Qual es le formula pro dy/dx (logax)?

1/x 1/lna Signup and view all the answers

Qual es le formula pro dy/dx (lnx)?

1/x Signup and view all the answers

Study Notes

Logarithmic Functions and Derivatives

ln(1) resulta in 0, indicante que le logarithmo natural de 1 es sempre zero.
ln(0) esse indeterminate, non pote esser calculate.

Exponential Functions

e^0 resulta in 1, demonstrante que omne numero elevate a zero es uno.
e^(ln(a)) es equivalente a a, confirmante le relation inter exponentes e logarithmos.
ln(e^a) resulta in a, reaffirmando que le logarithmo natural de un exponential resulta in le exponent.

Derivatives of Functions

Derivative de a^x es a^x * ln(a), indicando le apporto del constant "a" e le logarithmo natural de "a".
Derivative de e^x es e^x, un caso special in calculus, demonstrante le unique proprietate del numero e.
Derivative de log_a(x) es 1/(x * ln(a)), combinando le proprietate del logarithmo con le derivation.
Derivative de ln(x) resulta in 1/x, un resultato fondamentale in calculus, indicando le relation simple entre la variabile x e le sua logarithmo naturale.

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Description

Este cuestionario se centra en las ecuaciones derivadas logarítmicas en cálculo. A través de tarjetas de memoria, los estudiantes pueden repasar y aprender definiciones claves y relaciones entre funciones logarítmicas y exponenciales. Mejora tu comprensión de estos conceptos fundamentales en matemáticas.