Podcast
Questions and Answers
Le derivate del function ln((2x - 1)^2) / (2x - 1) es ______.
Le derivate del function ln((2x - 1)^2) / (2x - 1) es ______.
2
Que es le antiderivate de ln((2x - 1)^2) / (2x - 1)?
Que es le antiderivate de ln((2x - 1)^2) / (2x - 1)?
2x - 1 + C
Qual es le valor del constante C in le antiderivate de f'(x)?
Qual es le valor del constante C in le antiderivate de f'(x)?
-3
What does the horizontal axis of the standard trip time curve represent?
What does the horizontal axis of the standard trip time curve represent?
If the nominal current ($I_n$) is 4 A and the actual current is 10 A, what multiple is represented on the x-axis?
If the nominal current ($I_n$) is 4 A and the actual current is 10 A, what multiple is represented on the x-axis?
What is the unit of measurement for time on the trip time curve?
What is the unit of measurement for time on the trip time curve?
When estimating trip times for a thermal-magnetic circuit breaker, what needs to be observed on the curve?
When estimating trip times for a thermal-magnetic circuit breaker, what needs to be observed on the curve?
What type of scale is used for both axes in the trip time curve graph?
What type of scale is used for both axes in the trip time curve graph?
Flashcards
Differentiable function
Differentiable function
A function that has a derivative at every point in its domain.
Derivative of f(x)
Derivative of f(x)
The instantaneous rate of change of a function f at a given point x.
f'(x) formula
f'(x) formula
f'(x) = ln((2x-1)^2) / (2x-1)
f(1) = -3
f(1) = -3
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Calculate f( ? )
Calculate f( ? )
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Find value at (1/2, -e/2)
Find value at (1/2, -e/2)
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Calculate f((1/2))
Calculate f((1/2))
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Integration
Integration
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Initial condition
Initial condition
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Find the value of f(x) at x = 1/2
Find the value of f(x) at x = 1/2
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Thermal-magnetic circuit breaker
Thermal-magnetic circuit breaker
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Trip time
Trip time
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Nominal current (In)
Nominal current (In)
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Current multiple
Current multiple
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Estimating trip time
Estimating trip time
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Study Notes
Function Derivative and Calculation
- A function, f, is differentiable within its domain.
- The derivative of the function f, denoted as f'(x), is given by ln[(2x - 1)²] / (2x - 1).
- The value of f(1) is -3.
- The task is to determine the value of f(1/2 - e/2 ).
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