From the course: Complete Guide to Calculus Foundations for Data Science
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Hyperbolic derivatives
From the course: Complete Guide to Calculus Foundations for Data Science
Hyperbolic derivatives
- [Instructor] Let's wrap up this derivatives chapter by exploring hyperbolic derivatives. Before I get into the derivatives, though, let's first introduce what hyperbolic functions are in the first place. Hyperbolic functions are similar to trigonometric functions, but they're defined using a hyperbola instead of a unit circle. These types of functions are not as common to work with, but it is good to know their derivatives in case they do come up in your future work. Let's first review what the six hyperbolic functions are and what they equal. First, you have sine h of x equal to e to the x minus e to the minus x divided by two. You'll notice the notation has an h on the end, such as, again, sine h instead of just sine to indicate that it is a hyperbolic function. You'll also notice that they have the natural exponent e to the x often used in their functions due to how they relate to exponential contexts. So let's review the other five hyperbolic functions. So you have cosine h of x…
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