<P> The second derivative of a function f measures the concavity of the graph of f . A function whose second derivative is positive will be concave up ( also referred to as convex ) , meaning that the tangent line will lie below the graph of the function . Similarly , a function whose second derivative is negative will be concave down ( also simply called concave ) , and its tangent lines will lie above the graph of the function . </P>
<P> The second derivative of a function f measures the concavity of the graph of f . A function whose second derivative is positive will be concave up ( also referred to as convex ) , meaning that the tangent line will lie below the graph of the function . Similarly , a function whose second derivative is negative will be concave down ( also simply called concave ) , and its tangent lines will lie above the graph of the function . </P>
what does it mean if second derivative is negative
what does it mean if second derivative is negative
a function whose second derivative is negative will be concave down ( also simply called concave ) , and its tangent lines will lie above the graph of the function
a function whose second derivative is negative will be concave down ( also simply called concave ) , and its tangent lines will lie above the graph of the function