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nth Derivative | Finding Higher Order Derivatives (nth Derivative) Using chain rule |Calculus|Part 1

Calculus 10,393 lượt xem 2 years ago
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In this calculus video I 'm gonna show you how to Find Higher Order Derivatives (nth Derivative) Using chain rule.

Let f be a differentiable function, and let f ′ be its derivative. The derivative of f ′ (if it has one) is written f ′′ and is called the second derivative of f. Similarly, the derivative of the second derivative, if it exists, is written f ′′′ and is called the third derivative of f. Continuing this process, one can define, if it exists, the nth derivative as the derivative of the (n−1)th derivative. These repeated derivatives are called higher-order derivatives. The nth derivative is also called the derivative of order n and denoted f^(n).

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