Second and Higher Derivatives (HSC SSCE Mathematics Advanced): Flashcards
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Second derivative definition
Second derivative definition
Result of differentiating a function twice
What second derivative reveals
What second derivative reveals
Curvature and concavity of function's graph
Three notations for second derivative
Three notations for second derivative
, ,
Meaning of number in derivative notation
Meaning of number in derivative notation
How many times to differentiate
Key rule when finding higher derivatives
Key rule when finding higher derivatives
Simplify each derivative before next one
Polynomial degree after derivatives
Polynomial degree after derivatives
A constant
Polynomial degree after derivatives
Polynomial degree after derivatives
Zero
Derivatives of eventually become zero?
Derivatives of eventually become zero?
No, continue indefinitely
Sign pattern in derivatives of negative exponents
Sign pattern in derivatives of negative exponents
Alternate between negative and positive
Effect of differentiation on polynomial degree
Effect of differentiation on polynomial degree
Decreases by one