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Differentials and Partial Derivatives — Formula Sheet

Tamil Nadu Board · Class 12 · Mathematics

3 formulas from Differentials and Partial Derivatives (Tamil Nadu Board Class 12 Mathematics) on one page, grouped by topic. Includes Formula.

45 questions26 flashcards3 formulas & key relations5 concepts

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3 Entries · 3 Sections

Formulas and Key Relations

Linear Approximation and Differentials (Single Variable)

Formula

L(x) = f(x₀) + f'(x₀)(x - x₀) represents the tangent line at point x₀

Partial Derivatives

Geometrically, ∂f/∂x|(x₀,y₀) is the slope of the tangent line to the curve f(x,y₀) at x = x₀

Linear Approximation and Differentials (Multiple Variables)

Linear approximation for 2 variables gives equation of tangent plane to surface z = f(x,y)

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Frequently Asked Questions

What are the important topics in Differentials and Partial Derivatives for Tamil Nadu Board Class 12 Mathematics?
Key topics in Differentials and Partial Derivatives include Linear Approximation and Differentials (Single Variable), Functions of Several Variables: Limits and Continuity, Partial Derivatives, Linear Approximation and Differentials (Multiple Variables). Study these first, then practise questions on each for the Tamil Nadu Board Class 12 board exam.
How many formulas are in Differentials and Partial Derivatives?
This sheet lists 3 formulas from Differentials and Partial Derivatives, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Differentials and Partial Derivatives for the Tamil Nadu Board Class 12 board exam?
Learn the core ideas first, then work through the 45 practice questions on Differentials and Partial Derivatives. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All Tamil Nadu Board Class 12 Mathematics Formula Sheet

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