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ElieQuebec10
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- Can PLEASE someone help me!! I don’t understand it. (I attached a picture)
Thanks!!!!
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Undergrad Calculus: What is the derivative of ##\phi## at a point?
- Thread starter ElieQuebec10
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- Calculus Derivative Point
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SUMMARY
The discussion centers on the calculation of the derivative of the function ##\phi## at a specific point. It emphasizes that the derivative can only be computed if the function ##f## is defined and exists. The use of the chain rule is highlighted as essential for determining the derivative in relation to the gradient of the function, denoted as ##\nabla f##.
PREREQUISITES- Understanding of basic calculus concepts, specifically derivatives
- Familiarity with the chain rule in differentiation
- Knowledge of gradient notation, particularly ##\nabla f##
- Concept of function existence and definition in calculus
- Study the application of the chain rule in calculus
- Explore the concept of gradients and their significance in multivariable calculus
- Learn about the conditions for function existence and differentiability
- Investigate examples of derivative calculations for defined functions
Students of calculus, mathematics educators, and anyone seeking to deepen their understanding of derivatives and their applications in real-world scenarios.
- #2
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Soit ##\phi: \longrightarrow \mathbb{R}## makes no sense. And as long as ##f## isn't defined, you can only calculate the derivative under the condition that it exists for ##f## and in dependency of ##\nabla f## in which case you have to use the chain rule.
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