Matrices and Calculus: Unit II: Differential Calculus

Derivative Problems Based on General Rules of Differentiation

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Worked Examples: Matrices and Calculus: Differential Calculus

DERIVATIVE PROBLEMS BASED ON GENERAL RULES OF DIFFERENTIATION

WORKED EXAMPLES

Example 1 

If f(x) = (x3 + 2x)ex, then find ƒ'(x)

Solution 

Given f(x) = (x3 + 2x)ex



Example 2 

f(x) = √x ex

Solution 



Example 3 

If y = x2 cot x

Solution



Example 4 


Solution



Example 5 


Solution



Example 6 

If f(x) = √x g(x) where g(4) = 2, g′(4) = 3 then find ƒ'(4)

Solution



Example 7 


Solution


It is product and quotient and is complicated

⸫ First we shall simplify algebraically




Matrices and Calculus: Unit II: Differential Calculus : Tag: : - Derivative Problems Based on General Rules of Differentiation

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MA3151 1st semester | 2021 Regulation | 1st Semester Common to all Dept 2021 Regulation