Differentiation

COURSE DESCRIPTION

• Average rate of change
• Derivative of a function
• Finding f(x) from definition of derivative
• Differentiation of expressions
• Theorems on differentiation
• The chain rules
• Derivative of inverse functions
• Derivative of a function given in the form of parametric equations
• Differentiation of implicit relations
• Derivatives of trigonometric functions
• Derivatives of inverse trigonometric functions
• Derivative of the logarithmic function
• Logarithmic differentiation
• Derivative of hyperbolic functions
• Derivatives of the inverse hyperbolic functions
• Successive differentiation
• Series expansions of functions
• Taylor series expansion of functions
• Geometrical interpretation of a derivative
• Increasing and decreasing functions
• Relative extrema
• Critical values and critical points
• Conceptual overview of all the above topics
• Application and conceptual base quiz of students which consist of short questions, MCQS and Long questions.

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