Applications of Differentiation Quiz

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5 Questions

What is the L'Hopital's Rule for evaluating the limit of a quotient of functions?

The limit is equal to the limit of the quotient of their derivatives, provided that the given conditions are satisfied.

What is the indeterminate form that L’Hopital’s Rule aims to evaluate?

0/0

What is the result of applying L’Hopital’s Rule to the limit $\lim_{x \to 0} \frac{\sin x}{x}$?

1

What is the value of $\lim_{x \to 1} e^{x-1}$ after applying L’Hopital’s Rule?

$e$

What is the result of applying L’Hopital’s Rule to the limit $\lim_{x \to 0} \frac{\ln x}{\csc x}$?

Indeterminate form

Test your understanding of applications of differentiation with this quiz on L'Hopital's Rule and graphing extremities of functions and polynomials. Check your knowledge of limits and the application of differentiation in real-world scenarios.

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