Second derivative

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In physics and mathematics (particularly in differential calculus), the second derivative is the derivative of the derivative of a function, say . The second derivative has many real-life applications, especially in the study of mathematical optimization and acceleration. Second derivatives can be notated in several ways, some of which are

, or [1][2][3]

Other notations are used, but the above two are the most commonly used.

Power Rule for Finding the Second Derivative[change | change source]

If we have a function , then the second derivative of the function can be found using the power rule for second derivatives. That is,

Related pages[change | change source]

References[change | change source]

  1. "List of Calculus and Analysis Symbols". Math Vault. 2020-05-11. Retrieved 2020-09-16.
  2. "Second Derivatives". Math24. Retrieved 2020-09-16.
  3. "Content - The second derivative". amsi.org.au. Retrieved 2020-09-16.