log product rule

Product Rule for Differentiation - Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of ..

Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of x. or (u.v)' = u.v' + v .u' It can be remembered ..

m B n is then expressed as, K s p = [A p + ( a q ) ] m + [ B q - ( a q ) ] n . Thus, the solubility product constant (K s p ) of a sparingly soluble salt is defined as the product of the molar concentrations of the ions in a saturated solution of the sparingly s..

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

. To understand the direction of the vector , let us refer to the figure. Imagine rotating a right handed screw whose axis is perpendicular to the plane formed by a and b so as to twist it from a to b through the angle p between them. Then the direction of advance of the screw gives the direction of..

Expression for the equilibrium constant of a reaction is written in the form of a ratio. The numerator consists of the molar concentration (or partial pressure) terms of the products each raised to a power equal to its stoichiometric coefficient in the balanced chemical equation, an..

Rules for Writing Equilibrium Constant Expressions - Expression for the equilibrium constant of a reaction is written in the form of a ratio. The numerator consists of the molar concentration (or partial pressure) terms of the products each raised to a power equal to its stoichi..

It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quantities of different kinds, such as mass and temperature, so also it is meaningless to add vector quantities of diffe..

>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 Maximum absolute erro..

Which of the following rules is/are correct when a , X, Y be positive real numbers with a ≠ 1? => Ylog a (X) = log a X Y or log a ( X Y ) = log a X - log a Y or log a (X Y)= log b X × log b Y or Both A & B..