logarithmic differentiation problems

Logarithmic Differentiation - When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation.When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiat..

When we want to differentiate a function of the form f(x) g(x), we use logarithmic differentiation. Let y = f(x) g(x) Taking log on both sides, we have logy = g(x) logf(x). Differentiating with respect to x, we get, ..

Differentiation is the process by which the unspecialised embryonic cells change in structure and function during development and growth of an organism to form specialised cell types, tissues, and organs, distinct from one another. Differentiation makes cells of the same g..

Differentiation is the process by which the unspecialised embryonic cells change in structure and function during development and growth of an organism to form specialised cell types, tissues, and organs, distinct from one another. Differentiation makes cells of the same genotyp..

The derivative, measures the rate at which the dependent variable changes with respect to the independent variable. It is one of the most important ideas in Calculus. The differentiation of functions are widely used in science , economics, medicine and computer scienc..

We have already defined the derivative of a function f(x) at a particular point 'a' and derivative of f(x) in general for the variable x as f'(a) and f'(x) respectively. The restriction in both the cases is that 'the limit must exist'. If does not exist, then we say that the function ..

Logarithmic Series - If x is a real number such that |x|<1, then the series is called the logarithmic series. It can be proved mathematically that this logarithmic series has the sum equal to log(1 + x). If x is a real number such that |x|<1, then the s..

Logarithmic function is f (x) = log x. Its graph i..

Introduction - In this chapter, we shall study two series known as the Exponential series and Logarithmic series. In our discussion, we shall make use of mathematical tools like formula for sum of an infinite G.P., combinatorial coefficient..

Graph of Logarithmic Function - For x (0, ), the value of log x is uniquely defined.For x (0, ), the value of log x is uniquely defined. \ x g log x is a well-defined function from (0, ) to (- , ). The value of e to one place of decimal i..