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Differentiation by Mathtutor

Differentiation by Mathtutor

Differentiation by Mathtutor

This note explains the following topics: Differentiation from first principles, Differentiating powers of x, Differentiating sines and cosines, Differentiating logs and exponentials, Using a table of derivatives, The quotient rule, The product rule, The chain rule, Parametric differentiation, Differentiation by taking logarithms, Implicit differentiation, Extending the table of derivatives, Tangents and normals, Maxima and minima.

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sNA Pages
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Differential Calculus Notes For Mathematics 100 and 180

Differential Calculus Notes For Mathematics 100 and 180

The contents include: The basics, Limits, Derivatives, Applications of derivatives, Numbers, Sets, Other important sets, Functions, Parsing formulas, Inverse functions, Another limit and computing velocity, The limit of a function, Calculating limits with limit laws, Continuity, Revisiting tangent lines, Interpretations of the derivative, Proofs of the arithmetic of derivatives, Derivatives of Exponential Functions, Derivatives of trigonometric functions, The natural logarithm, Implicit Differentiation, Inverse Trigonometric Functions, The Mean Value Theorem, Higher order derivatives, Velocity and acceleration, Related rates, Optimisation, Sketching graphs, Introduction to antiderivatives, Carbon dating, Population growth, Some examples, Further examples, The error in the Taylor polynomial approximations, Local and global maxima and minima, Finding global maxima and minima, Symmetries, A checklist for sketching, Sketching examples, Standard examples, Variations.

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Differentiation by Mathtutor

Differentiation by Mathtutor

This note explains the following topics: Differentiation from first principles, Differentiating powers of x, Differentiating sines and cosines, Differentiating logs and exponentials, Using a table of derivatives, The quotient rule, The product rule, The chain rule, Parametric differentiation, Differentiation by taking logarithms, Implicit differentiation, Extending the table of derivatives, Tangents and normals, Maxima and minima.

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A Collection of Problems in Differential Calculus

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This note covers the following topics: Limits and Continuity, Differentiation Rules, Applications of Differentiation, Curve Sketching, Mean Value Theorem, Antiderivatives and Differential Equations, Parametric Equations and Polar Coordinates, True Or False and Multiple Choice Problems.

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