Applications of Differentiation (AQA A-Level Mathematics): Flashcards
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Definition of second order derivative
Definition of second order derivative
Derivative of the first derivative of a function
Notation for second derivative
Notation for second derivative
or rac{d^2y}{dx^2}
What second derivative represents
What second derivative represents
Rate of change of gradient
Condition for concave up graph
Condition for concave up graph
Condition for concave down graph
Condition for concave down graph
Definition of inflection point
Definition of inflection point
Point where concavity changes
When do inflection points occur
When do inflection points occur
Where second derivative changes sign
If at critical point
If at critical point
Local minimum
If at critical point
If at critical point
Local maximum
In physics, 2nd derivative of position gives
In physics, 2nd derivative of position gives
Acceleration