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Differentiation Formulas Video Lecture | Calculus - Mathematics

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FAQs on Differentiation Formulas Video Lecture - Calculus - Mathematics

1. What are the basic rules of differentiation?

Ans. The basic rules of differentiation include the power rule, constant rule, sum and difference rule, product rule, quotient rule, and chain rule. These rules allow us to find the derivative of a function with respect to its independent variable.

2. How do I use the power rule in differentiation?

Ans. The power rule states that if a function is of the form f(x) = x^n, where n is a constant, then its derivative is given by f'(x) = nx^(n-1). To use the power rule, simply multiply the coefficient of x by the exponent and decrease the exponent by 1.

3. Can you explain the chain rule in differentiation?

Ans. The chain rule is used to differentiate composite functions. If we have a function f(g(x)), where g(x) is an inner function and f(u) is an outer function, then the chain rule states that the derivative of f(g(x)) is f'(g(x)) * g'(x). In other words, we differentiate the outer function and multiply it by the derivative of the inner function.

4. How do I find the derivative of a product of functions?

Ans. To find the derivative of a product of functions, we use the product rule. The product rule states that if we have two functions f(x) and g(x), then the derivative of their product f(x) * g(x) is given by f'(x) * g(x) + f(x) * g'(x). We differentiate the first function and multiply it by the second function, then add it to the product of the first function and the derivative of the second function.

5. What is the quotient rule and how is it used in differentiation?

Ans. The quotient rule is used to find the derivative of a quotient of functions. If we have two functions f(x) and g(x), then the quotient rule states that the derivative of their quotient f(x) / g(x) is given by (f'(x) * g(x) - f(x) * g'(x)) / (g(x))^2. We differentiate the numerator and multiply it by the denominator, then subtract the product of the numerator and the derivative of the denominator, all divided by the square of the denominator.

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	Nov 24, 2024 Last updated

Video Description: Differentiation Formulas for Mathematics 2024 is part of Calculus preparation. The notes and questions for Differentiation Formulas have been prepared according to the Mathematics exam syllabus. Information about Differentiation Formulas covers all important topics for Mathematics 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Differentiation Formulas.

Introduction of Differentiation Formulas in English is available as part of our Calculus for Mathematics & Differentiation Formulas in Hindi for Calculus course. Download more important topics related with notes, lectures and mock test series for Mathematics Exam by signing up for free.

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Video Lecture & Questions for Differentiation Formulas Video Lecture | Calculus - Mathematics - Mathematics full syllabus preparation | Free video for Mathematics exam to prepare for Calculus.

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Here you can find the meaning of Differentiation Formulas defined & explained in the simplest way possible. Besides explaining types of Differentiation Formulas theory, EduRev gives you an ample number of questions to practice Differentiation Formulas tests, examples and also practice Mathematics tests.

	Calculus 112 videos\|65 docs\|3 tests

Calculus

112 videos|65 docs|3 tests

Join Course for Free

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