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What is used to find higher-order derivatives of a function?

a) Mean Value Theorem
b) Derivative Chain Rule
c) Multiple Derivative Rules
d) Integral Calculus

1 Answer

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Final answer:

The correct answer is option c) Multiple Derivative Rules. Multiple Derivative Rules are used to find higher-order derivatives of a function. These rules allow us to take derivatives of derivatives, which is useful in many areas of mathematics and physics.

Step-by-step explanation:

The correct answer to the question 'What is used to find higher-order derivatives of a function?' is option c) Multiple Derivative Rules. Multiple Derivative Rules are used to find higher-order derivatives of a function. These rules allow us to take derivatives of derivatives, which is useful in many areas of mathematics and physics.

For example, if we have a function f(x) and we want to find its second derivative, we can use the chain rule to find the derivative of the first derivative, resulting in f''(x).

Overall, Multiple Derivative Rules are an important tool in calculus for finding higher-order derivatives of functions.

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