Test
Calculus Quiz
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Preguntas del test (9)
1Find an expression for the gradient of the function \[f(x) = 4x\] by differentiating from first principles.
Answer: [blank_start]4[blank_end]- A4
2Which of the following is the derivative of the following equation:
\(y= 6x^2 + ^3 \sqrt{4x^2}\)- A\[\frac{dy}{dx}=12x + \frac{8}{3x^3}\]
- B\[\frac{dy}{dx}=12x + \frac{8x^3}{3}\]
- C\[\frac{dy}{dx}=12x + \frac{8}{3}\]
3If \(x\) represents displacement and \(t\) represents time, then which of the following represents acceleration?
- A\( x'(t) \)
- B\(\frac{dx}{dt}\)
- C\(x''\)
4The second order derivative is zero at a local maximum.
- AVerdadero
- BFalso
5The derivative of the function \[f(x) = 4x^2 + 5x^3 + 16\] is given by...
- A\(f'(x) = 8x + 15x^2\)
- B\(f'(x) = 12x^3 + 15x^4\)
- C\(f'(x) = 8x + 15x^2 +16\)
6The graph of the derivative of this curve would have which shape?
- A
- B
- C
- A
7Differentiate the following function:\[f(x) = \frac{3x^2+18x+8}{3x+2}\].
\(f'(x)\) = [blank_start]1[blank_end]- A1
8What is the gradient of the normal to the curve \[y= x^4 + 3x^2\] at the point \((1, 4)\)?
The gradient is [blank_start]-1/10[blank_end].- A-1/10
9Evaluate the following integral:
\[\int ^5_3 6x^2dx\]
Answer: [blank_start]96[blank_end]- A96
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- El usuario ha eliminado su información de asignaturas Test sobre Calculus Quiz, creado por Usuario eliminado el 16/08/2017.
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- Usuario eliminado
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- English
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- Creado el 16 ago 2017 · actualizado el 8 oct 2018
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