Question

Find the second order derivatives of the following functions :x³ log x

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

Let space space space space straight y equals straight x cubed space log space straight x therefore space dy over dx equals straight x 3.1 over straight x plus log space straight x.3 straight x squared equals equals straight x squared plus 3 straight x squared space log space straight x equals straight x squared left parenthesis 1 plus 3 space log space straight x right parenthesis space space space space fraction numerator straight d squared straight y over denominator dx squared end fraction equals straight x squared.3 over straight x plus left parenthesis 1 plus 3 space log space straight x right parenthesis.2 straight x space space space space space space space space space space space space space space equals 3 straight x plus 2 straight x left parenthesis 1 plus 3 space log space straight x right parenthesis equals straight x left square bracket 3 plus 2 left parenthesis 1 plus 3 space log space straight x right parenthesis right square bracket space space space space space space space space space space space space space space equals straight x left square bracket 3 plus 2 plus 6 space log space straight x right square bracket equals straight x left parenthesis 5 plus 6 space log space straight x right parenthesis

For Daily Free Study Material Join wiredfaculty