Differentiation Formulas: Overview, Questions, Preparation

Differentiation 2021 ( Differentiation )

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Rachit Kumar Saxena

Rachit Kumar SaxenaManager-Editorial

Updated on Aug 31, 2021 02:24 IST

Differentiation is an important topic, and with integration, forms one of the two parts of calculus. A number of examples are generally used in class to emphasize the importance of differentiation formulae. Since the number of formulae is so large, students need to be trained with every one of the formulae, and a significant number of examples is essential.

Differentiation is among the first concepts a student learns in the calculus branch of mathematics. A number of rules can be handy in solving complex differentiation questions. Here is a list of the main rules that govern differentiation.

What are Primary Differentiation Formulae?

The following are the main differentiation formulae that are generally used in the differentiation of all types of expressions. 

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Trigonometric DIfferentiation Formulae

Trigonometric expressions have a different set of rules to govern their differentiation. Here is a list of the differentiation formulae for trigonometric functions.

Trigonometric_differentiation_formulas

Inverse Trigonometric DIfferentiation Formulae
Inverse trigonometric formulae are generally not utilized widely but can be differentiated using the following set of formulae.

Inverse_Trigonometric_differentiation_formulas

Miscellaneous Formulae

Miscellaneous_differentiation_formulas

Weightage of Differentiation formulae

Differentiation formulae can be a part of the examination for more than 10 marks in Class XI, in the form of 1, 2, 4, or 6 marks questions. A number of complex questions can be asked on this topic.

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Illustrative Examples on Differentiation formulae

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FAQs on Differentiation formulae

Q: What are differentiation formulae?

A: Differentiation formulae are rules in the form of equations that are used to solve differentiation questions.

Q: Can differentiation formulae be clubbed in the same question?

A: Yes, multiple differentiation formulae are generally required in the same question.

Q: What is the chain rule?

A: The chain rule is the differentiation formula that governs the differentiation of the product of two or more expressions.

Q: What is the quotient rule?

A: The quotient rule is the differentiation formula that governs the differentiation of the quotient of two functions.

Q: How do you derive a constant multiplied with a function?

A: To derive a constant multiplied with a function, derive the function and multiply the constant with the result.

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