Question

\sqrt{\frac{(x-1)(x-2)}{(x-3) (x-4) (x-5)}} प्रदत्त फलनों का x के सापेक्ष अवकलन कीजिए

Answer 1

dy/dx = (1/2) √ (x - 1)(x - 2) / (x - 3)(x - 4)(x - 5) (  1/(x - 1)   + 1/(x - 2)  - 1/(x - 3)  - 1/(x - 4)  - 1/(x - 5)

यदि y = √ (x - 1)(x - 2) / (x - 3)(x - 4)(x - 5)

Step-by-step explanation:

dy/dx ज्ञात कीजिए

y = √ (x - 1)(x - 2) / (x - 3)(x - 4)(x - 5)

log  y  =  (1/2)  log ((x - 1)(x - 2) / (x - 3)(x - 4)(x - 5))

=> log y =  (1/2) ( log(x - 1) + log(x - 2) - log(x - 3) - log(x - 4) - log(x - 5) )

=> 1/y dy/dx = (1/2)  (  1/(x - 1)   + 1/(x - 2)  - 1/(x - 3)  - 1/(x - 4)  - 1/(x - 5)

=> dy/dx = (y/2)   (  1/(x - 1)   + 1/(x - 2)  - 1/(x - 3)  - 1/(x - 4)  - 1/(x - 5)

=> dy/dx = (1/2) √ (x - 1)(x - 2) / (x - 3)(x - 4)(x - 5) (  1/(x - 1)   + 1/(x - 2)  - 1/(x - 3)  - 1/(x - 4)  - 1/(x - 5)

और अधिक जानें :

sin(x²+5)"

brainly.in/question/15286193

sin (ax+b) फलन का अवकलन कीजिए

brainly.in/question/15286166