Second derivative - Wikipedia
https://en.wikipedia.org/wiki/Second_derivativeConcavity. The second derivative of a function f can be used to determine 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 ...
Calculus I - Implicit Differentiation
tutorial.math.lamar.edu › Classes › CalcIMay 30, 2018 · d d x ( x 2 + [ y ( x)] 2) = d d x ( 9) d d x ( x 2 + [ y ( x)] 2) = d d x ( 9) As with the first example the right side is easy. The left side is also pretty easy since all we need to do is take the derivative of each term and note that the second term will be similar the part (a) of the second example.