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Logarithmic Differentiation

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Logarithmic Differentiation Class 12th

Let f:S → S where S = (0,∞) be a twice differentiable function such that f(x+1) = xf(x). If g: S → R be defined as g(x) = logₑf(x), then the value of |g''(5)-g''(1)| is equal to :
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alok kumar singh

Contributor-Level 10

Kindly go through the solution

 

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a month ago

Logarithmic Differentiation Maths

When should I use logarithmic differentiation?
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J
Jaya Sharma

Contributor-Level 10

Logarithmic differentiation is used in the following cases:

  • Logarithmic differentiation is used with functions that have a variable in both base and exponents. In such a case, standard differentiation rules do not apply directly to such functions. This differentiation converts exponentiation into multiplication.
  • Another area where logarithmic differentiation is used is with a function which is the product of a quotient of multiple terms. 
  • Whenever a function has a complex combination of multiplication, division and exponentiation, logarithmic differentiation is preferred. This differentiation eases the complexity by converting multip
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