solved examples(differentiation-product law & quotient law)

8/9/2019 Solved Examples(Differentiation-Product Law & Quotient Law)

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DIFFERENTIATION

(Solved Examples based on Product law

and Quotient law)1. Find the differential coefficient ofSolution: Let ..(1)Differentiating the equation (1) with respect to , we get

2. Find the differential coefficient of .Solution: Let .(1)

Differentiating the equation (1) with respect to , we get

Or

3. Find the differential coefficient of

Solution: Let .(1)


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Differentiating the equation(1) w.r.t., we get

Or

Or


Solution: Let

Differentiating the above equation w.r.t , we get

Or

Or

Or

Or

Or


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5. Find the differential coefficient of(2 .Solution: Let

Differentiating the above equation w.r.t., we get

Or

Or

Or


Solution: Let

Differentiating the above equation w.r.t. we get

Or

Or

Or


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Solution: Let



Solution: Let



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9. Find the differential coefficient of Solution: Let Using the product rule, differentiating the above equation w.r.t., we get

10.Find the differential coefficient of

Solution: Let



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11.Find the differential coefficient of .Solution: Let Differentiating the above equation with respect to , we get

Or

12.Find the differential coefficient of .Solution: Let



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Differentiating the above equation w.r.t.

, we get


Differentiating the above equation w.r.t.


Differentiating the above equation with respect to , we get


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16.Find the differential coefficient of.Solution: Let

Differentiating the above equation with respect to , we get

solved examples(differentiation-product law & quotient law)

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