Second and Higher Derivatives (HSC SSCE Mathematics Advanced): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What does the second derivative of a function tell us about its graph?
What does the second derivative of a function tell us about its graph?
Curvature and concavity
Which notation represents the second derivative?
Which notation represents the second derivative?
After the third derivative, which notation is preferred for higher derivatives?
After the third derivative, which notation is preferred for higher derivatives?
For a polynomial of degree , after how many derivatives do you get zero?
For a polynomial of degree , after how many derivatives do you get zero?
After derivatives
If , what is ?
If , what is ?
For , what pattern appears in the signs of successive derivatives?
For , what pattern appears in the signs of successive derivatives?
Signs alternate negative and positive
If , what is ?
If , what is ?
What is the key step before finding the next derivative?
What is the key step before finding the next derivative?
Simplify the current derivative
How do derivatives of functions with negative powers differ from polynomials?
How do derivatives of functions with negative powers differ from polynomials?
They never become zero
By how much does the degree of a polynomial decrease with each differentiation?
By how much does the degree of a polynomial decrease with each differentiation?
Decreases by one