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Showing posts from December, 2017

Solution to UBC math 102 final exam practice - Dec 2017

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Calculus Lectures - Derivative Summary

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Concept of differentiability, derivative and derivative function Differentiation Rules  Derivatives of Power, Exponential and Logarithmic Functions  Derivatives Trigonometric and Inverse Trigonometric Functions Obtain the derivative of inverse trigonometric functions with implicit differentiation 1. Obtain the derivative of inverse sine function with implicit differentiation  2. Obtain the derivative of inverse cosine function with implicit differentiation Obtain the derivative of inverse cosine function from the derivative of inverse sine function 3. Obtain the derivative of inverse tangent function with implicit differentiation 4. Obtain the derivative of inverse cotangent function with implicit differentiation 5. Obtain the derivative of inverse secant function with implicit differentiation 6. Obtain the derivative of inverse cosecant function with implicit differentiation Obtain the derivative of inverse cosecant function from the de...

Calculus Lectures - Limit & Continuity

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Concept of Limit  Left and Right Limit  Looking into some limits  Limit Rules  Limit of Algebraic Functions  Further Discussion on Limits of Elementary Functions  Limits at Infinity  Limits at Infinity of Rational Functions Technique of multiplying the numerator and the denominator by the conjugate expression Squeeze Theorem Continuity at a point, left and right continuous, continuous on a interval, end point continuous, continuous function Removable Discontinuity, Jump Discontinuity, Infinite Discontinuity, Oscillating Discontinuity