Question

graphically explain the geometrical meaning of dy/dx at a point
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Answer 1

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Geometrical Meaning of Derivative at Point

The derivative [f'(x) or dy/dx] of the function y = f(x) at the point P(x, y) (when exists) is equal to the slope (or gradient) of the tangent line to the curve y = f(x) at P(x, y).