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what double derivative mean graphically for a function ?

what  double derivative mean graphically for a function ?

Grade:12

2 Answers

Vijay Mukati
askIITians Faculty 2590 Points
7 years ago
The second (or double) derivative of a functionfmeasures theconcavityof the graph off. A function whose second derivative is positive will beconcave up, meaning that thetangentline will lie below the graph of the function. Similarly, a function whose second derivative is negative will beconcave down and its tangent lines will lie above the graph of the function. Thanks.
Raghu Vamshi Hemadri
72 Points
7 years ago
The second (or double) derivative of a functionfmeasures theconcavityof the graph off. A function whose second derivative is positive will beconcave up, meaning that thetangentline will lie below the graph of the function. Similarly, a function whose second derivative is negative will beconcave down and its tangent lines will lie above the graph of the function. Thanks.

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