Commission Brokerage and Discount — Formula Sheet
Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce
6 formulas from Commission Brokerage and Discount (Maharashtra Board Class 12 Mathematics & Statistics -Commerce) on one page, grouped by topic.
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Formulas and Key Relations
Derivatives of Composite Functions (Chain Rule)
If y = f(u) and u = g(x), then dy/dx = (dy/du) × (du/dx)
Derivatives of Inverse Functions
If y = f(x) and x = f⁻¹(y), then dx/dy = 1/(dy/dx)
Logarithmic Differentiation
Essential for functions of the form y = [f(x)]^g(x)
Key relations
For y = f(g(x)), dy/dx = f'(g(x)) × g'(x).
Used for functions of the form y = [f(x)]^(g(x)) or complex products/quotients.
Method
(1) Take natural log of both sides: log y = g(x)log[f(x)], (2)
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Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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