web analytics

Ex 5.5, 6 - Differentiate (x + 1/x)x + x(1 + 1/x) - Logarithmic Differentiation - Type 2

Slide17.JPG
Slide18.JPGSlide19.JPGSlide20.JPGSlide21.JPGSlide22.JPGSlide23.JPG

  1. Class 12
  2. Important Question for exams Class 12
Ask Download

Transcript

Ex 5.5,6 (Method 1) Differentiate the functions in, (π‘₯+1/π‘₯)^π‘₯+ π‘₯^((1+1/π‘₯) ) Let 𝑦= (π‘₯+1/π‘₯)^π‘₯+ π‘₯^((1 + 1/π‘₯) ) Let 𝑒 = (π‘₯+1/π‘₯)^π‘₯ , 𝑣 = π‘₯^((1 + 1/π‘₯) ) 𝑦 = 𝑒+𝑣 Differentiating both sides 𝑀.π‘Ÿ.𝑑.π‘₯. 𝑑𝑦/𝑑π‘₯ = (𝑑 (𝑒 + 𝑣))/𝑑π‘₯ 𝑑𝑦/𝑑π‘₯ = 𝑑𝑒/𝑑π‘₯ + 𝑑𝑣/𝑑π‘₯ Now 𝑑𝑣/𝑑π‘₯ = 𝑑𝑒/𝑑π‘₯ + 𝑑𝑣/𝑑π‘₯ Putting values of 𝑑𝑒/𝑑π‘₯ & 𝑑𝑣/𝑑π‘₯ π’…π’š/𝒅𝒙 = (𝒙+𝟏/𝒙)^𝒙 ((𝒙^𝟐 βˆ’ 𝟏)/(𝒙^𝟐+ 𝟏)+π₯𝐨𝐠⁑(𝒙+ 𝟏/𝒙) ) + 𝒙^((𝟏 + 𝟏/𝒙) ) ((𝒙 + 𝟏 βˆ’ π’π’π’ˆβ‘π’™ )/𝒙^𝟐 )

About the Author

CA Maninder Singh's photo - Expert in Practical Accounts, Taxation and Efiling
CA Maninder Singh
CA Maninder Singh is a Chartered Accountant for the past 8 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .
Jail