Techniques Of Differentiation

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Presentation transcript:

Techniques Of Differentiation • In the lectures so far, we obtained some derivatives directly by definition. • In this sections, we develop theorems which will give us short cuts for calculation derivatives of special functions • Derivatives of Constant Functions • Derivatives of Power functions • Derivative of a constant multiple of a function Etc!! • This result is also obvious geometrically since the function y = c is a horizontal line with slope 0. And we saw earlier that a line function has tangent line slope equal to its own slope which is 0.

Derivative of Sums and Differences of Functions Proof Similarly for difference left as exercise

Derivative of a product Same for general difference Derivative of a product

Derivative of a Quotient Prove yourself! Prove yourself!

Derivative of a Reciprocal Student can prove this using the quotient rule!!

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