मराठी

Find dydxify=(logx+1)x - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find `dy/dx if y = ((logx+1))/x`

बेरीज

उत्तर

`y=((logx + 1))/x`

Differentiating w.r.t. x, we get

`dy/dx=d/dx[(logx + 1)/x]`

= `(xd/dx(logx + 1) - (logx + 1)d/dx(x))/x^2`

= `(x(1/x + 0) - (logx + 1)(1))/x^2`

= `(1 - logx - 1)/x^2`

=`(-logx)/x^2`

shaalaa.com
Rules of Differentiation (Without Proof)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 9: Differentiation - Miscellaneous Exercise 9 [पृष्ठ १२३]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 9 Differentiation
Miscellaneous Exercise 9 | Q II. (8) | पृष्ठ १२३
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×