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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