DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

Ø Differential calculus is a subfield of calculus that studies the rates at which quantities change.

Ø The derivative of a function at a chosen input value describes the rate of change of the function near that input value.

Ø The process of finding a derivative is called differentiation.

Tangent line approximation:

Differentiability and Continuity:

Ø If a function is continuous at a point, then it is not necessary that the function is differentiable at that point.

Derivatives of basic elementary functions:

PROBLEMS

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SUMMARY