¿Cuál es la derivada de la función f(x) = 3x^2 + 2x - 5?
Matemáticas Avanzadas

Quiz
•
Mathematics
•
11th Grade
•
Hard
joaquin patiño
Used 24+ times
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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
f'(x) = 9x + 2
f'(x) = 6x + 2
f'(x) = 3x^2 + 2x - 5
f'(x) = 6x^2 + 2
Answer explanation
The derivative of f(x) = 3x^2 + 2x - 5 is f'(x) = 6x + 2. This is the correct choice because it follows the power rule for derivatives and simplifies the equation correctly.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la integral indefinida de la función g(x) = 4x^3 - 2x + 7?
La integral indefinida de g(x) es 4x^2 - 2x^3 + 7x + C
La integral indefinida de g(x) es 2x^4 - x^2 + 7x + C
La integral indefinida de g(x) es 4x^4 - 2x^2 + 7x + C
La integral indefinida de g(x) es x^4 - x^2 + 7x + C, donde C es la constante de integración.
Answer explanation
The indefinite integral of g(x) is x^4 - x^2 + 7x + C, where C is the constant of integration.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la solución general de la ecuación diferencial dy/dx = 2x?
La solución general es y = 3x + C, donde C es una constante de integración.
La solución general es y = 2x + C, donde C es una constante de integración.
La solución general es y = x^2 + C, donde C es una constante de integración.
La solución general es y = x^3 + C, donde C es una constante de integración.
Answer explanation
The general solution is y = 2x + C, where C is a constant of integration.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la ecuación diferencial que modela el crecimiento exponencial?
dy/dt = ky
dy/dt = k
dy/dt = k/y
dy/dt = k^y
Answer explanation
The differential equation that models exponential growth is dy/dt = ky. This equation represents the rate of change of y with respect to time, where k is a constant that determines the growth rate.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la distancia entre los puntos (3, 4) y (-2, 1) en el plano cartesiano?
La distancia entre los puntos (3, 4) y (-2, 1) es 10 unidades.
La distancia entre los puntos (3, 4) y (-2, 1) es 5 unidades.
La distancia entre los puntos (3, 4) y (-2, 1) es 2 unidades.
La distancia entre los puntos (3, 4) y (-2, 1) es 20 unidades.
Answer explanation
The distance between the points (3, 4) and (-2, 1) in the Cartesian plane is 5 units. This is the correct choice.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es la pendiente de la recta que pasa por los puntos (5, 2) y (-3, 7)?
0
3
1
-0.5
Answer explanation
The slope of a line passing through the points (5, 2) and (-3, 7) can be found using the formula (y2 - y1) / (x2 - x1). Plugging in the values, we get (-0.5) as the slope. Therefore, the correct answer is -0.5.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
¿Cuál es el determinante de la matriz A = [[3, 1], [5, 2]]?
3
5
10
1
Answer explanation
The determinant of matrix A is 1. The correct choice is 1 because it is the only value that satisfies the determinant calculation for a 2x2 matrix.
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