Chapter: Applications of Derivatives· Mathematics & Statistics (Commerce) Part 1

The slope of tangent at any point \((a, b)\) is called as ______.

Q.1 (C)(i) The slope of tangent at any point \((a, b)\) is called as ______.

Doubtly Asked 29 Oct 2026 Board exam · March 2024 hsc 12th Save WhatsApp Report

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Answer: the gradient of the curve at that point, i.e. \(\left(\dfrac{dy}{dx}\right)_{(a,b)} = f'(a)\)

For a curve \(y = f(x)\), the slope of the tangent at \((a, b)\) is the value of the derivative there; it is called the gradient (slope) of the curve at that point.

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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The slope of tangent at any point \((a, b)\) is called as ______.

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