logarithmic differentiation

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, ..

>The above result is obtained by logarithmic differentiation. Take log on both sides, Log X = log a + log b Differentiating, we get , Thus, maximum relative error in X = maximum relative error in a x maximum relative error in b M..

Logarithmic Differentiation is obtained by taking log on both sides and then differentiating both sides. Differentiation of functions expressed in parametric f..

The differential equation for the decay is given by where M is the mass of the radioactive substance after t hours. = log M = - kt + log C where log C is the constant of integration ..

Kingdom Mycota or Fungi - The kingdom Mycota includes exclusively the fungi. The fungi are a group of organisms which has a plant body called thallus that may be unicellular or multicellular. They are achlorophyllous and non-vascular. Fungi represent another major group of decomposers along with so..

Slime Moulds - These are a group of peculiar organisms which share characteristics of fungi and animals. Hence, they are also called as Mycetozoa . In the modern classification they are described as protistan fungi . Most examples of slime moulds are terrestrial and occur in cool, moist and shady p..

where l is a constant of proportionality which is called by Rutherford and Soddy as Radioactive (or decay or disintegration) constant. The rate of disintegration has a negative sign showing that the number of atoms of A decreases with time. In the differential form, the equation is Integr..