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Nature Table. Leibniz Notation. Equation of tangent line. x. -1. 2. 5. -. +. f’(x). 0. Straight Line Theory. Max. Gradient at a point. f’(x)=0 Stationary Pts Max. / Mini Pts Inflection Pt. Graphs f’(x)=0. Derivative = gradient = rate of change. Differentiation
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Nature Table Leibniz Notation Equation of tangent line x -1 2 5 - + f’(x) 0 Straight Line Theory Max Gradient at a point f’(x)=0 Stationary Pts Max. / Mini Pts Inflection Pt Graphs f’(x)=0 Derivative = gradient = rate of change Differentiation of Polynomials f(x) = axn then f’x) = anxn-1