From the course: Complete Guide to Calculus Foundations for Data Science

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Second-order derivatives

Second-order derivatives

From the course: Complete Guide to Calculus Foundations for Data Science

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Second-order derivatives

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- [Instructor] In this chapter, you will explore more complex derivatives, including higher order derivatives and other differentiation techniques. The other differentiation techniques will include implicit and logarithmic differentiation. Let's start off by exploring higher order derivatives. In the last few chapters, you learned what a derivative is and how to calculate it. So you may be wondering, "What is a higher order derivative?" A higher order derivative is when you take the derivative of a function multiple times. So instead of just deriving a function once, you may derive that original function, then derive the result of that first derivative, and then you repeat that as many times as you need to. Let's start off with exploring second order derivatives. A second order derivative is when you take a derivative two times in succession. Essentially, it is just doing the same thing twice. This is often notated by f double prime x or f to the 2 x where the 2 has parentheses around…

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