Differentiation and Integration Quiz

Quiz von Niamh Ryan, erstellt am vor mehr als 1 Jahr

To wrap up our learning series on Differentiation and Integration, we present this quiz to test your knowledge. Get a handle on how much you know by tacking these calculus questions to the best of your ability. Good luck!

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	Erstellt von Niamh Ryan vor mehr als 9 Jahre

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To wrap up our learning series on Differentiation and Integration, we present this quiz to test your knowledge. Get a handle on how much you know by tacking these calculus questions to the best of your ability. Good luck!

Differentiation and Integration Quiz

Frage 1 von 9

Fülle die Lücke, um den Text zu vervollständigen

Find an expression for the gradient of the function \[f(x) = 4x\] by differentiating from first principles.
Answer:

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Frage 2 von 9

Which of the following is the derivative of the following equation:
\(y= 6x^2 + ^3 \sqrt{4x^2}\)

Wähle eine der folgenden:

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Frage 3 von 9

If \(x\) represents displacement and \(t\) represents time, then which of the following represents acceleration?

Wähle eine der folgenden:

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Frage 4 von 9

The second order derivative is zero at a local maximum.

Wähle eins der folgenden:

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Frage 5 von 9

The derivative of the function \[f(x) = 4x^2 + 5x^3 + 16\] is given by...

Wähle eine der folgenden:

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Frage 6 von 9

The graph of the derivative of this curve would have which shape?

Wähle eine der folgenden:

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Frage 7 von 9

Fülle die Lücke, um den Text zu vervollständigen

Differentiate the following function:\[f(x) = \frac{3x^2+18x+8}{3x+2}\].
\(f'(x)\) =

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Frage 8 von 9

Fülle die Lücke, um den Text zu vervollständigen

What is the gradient of the normal to the curve \[y= x^4 + 3x^2\] at the point \((1, 4)\)?
The gradient is .

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Frage 9 von 9

Fülle die Lücke, um den Text zu vervollständigen

Evaluate the following integral:
\[\int ^5_3 6x^2dx\]
Answer:

Erklärung

To wrap up our learning series on Differentiation and Integration, we present this quiz to test your knowledge. Get a handle on how much you know by tacking these calculus questions to the best of your ability. Good luck!

Differentiation and Integration Quiz

Frage 1 von 9

Fülle die Lücke, um den Text zu vervollständigen

Find an expression for the gradient of the function \[f(x) = 4x\] by differentiating from first principles. Answer:

Erklärung

Frage 2 von 9

Which of the following is the derivative of the following equation: \(y= 6x^2 + ^3 \sqrt{4x^2}\)

Wähle eine der folgenden:

Erklärung

Frage 3 von 9

If \(x\) represents displacement and \(t\) represents time, then which of the following represents acceleration?

Wähle eine der folgenden:

Erklärung

Frage 4 von 9

The second order derivative is zero at a local maximum.

Wähle eins der folgenden:

Erklärung

Frage 5 von 9

The derivative of the function \[f(x) = 4x^2 + 5x^3 + 16\] is given by...

Wähle eine der folgenden:

Erklärung

Frage 6 von 9

The graph of the derivative of this curve would have which shape?

Wähle eine der folgenden:

Erklärung

Frage 7 von 9

Fülle die Lücke, um den Text zu vervollständigen

Differentiate the following function:\[f(x) = \frac{3x^2+18x+8}{3x+2}\]. \(f'(x)\) =

Erklärung

Frage 8 von 9

Fülle die Lücke, um den Text zu vervollständigen

What is the gradient of the normal to the curve \[y= x^4 + 3x^2\] at the point \((1, 4)\)? The gradient is .

Erklärung

Frage 9 von 9

Fülle die Lücke, um den Text zu vervollständigen

Evaluate the following integral: \[\int ^5_3 6x^2dx\] Answer:

Erklärung

Find an expression for the gradient of the function \[f(x) = 4x\] by differentiating from first principles.
Answer:

Which of the following is the derivative of the following equation:
\(y= 6x^2 + ^3 \sqrt{4x^2}\)

Differentiate the following function:\[f(x) = \frac{3x^2+18x+8}{3x+2}\].
\(f'(x)\) =

What is the gradient of the normal to the curve \[y= x^4 + 3x^2\] at the point \((1, 4)\)?
The gradient is .

Evaluate the following integral:
\[\int ^5_3 6x^2dx\]
Answer: