Grade 12Differential Calculus
what double derivative mean graphically for a function ?
what double derivative mean graphically for a function ?
2 Answers
Vijay Mukati
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
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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