worked examples of differentiation

. Differentiation is also used to study the behavior of machinery. What could be the shape of a least expensive machine, which can work effectively? Calculus enables to estimate the reduction in water levels as water is pumped out of tank; to predict the consequences of making e..

Differentiation - 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 mak..

Introduction - 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..

Differentiability - 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'. IfWe have already defined the der..

>does not exist, then we say that the function is not differentiable. If the above limit exists, we say the function f(x) is differentiable. In order to test the differentiability of a function at a point, the right hand derivative and left hand derivatives are introdu..

The transference of energy may take place as work if the system and surroundings have different pressures. For e.g., suppose a gaseous system is enclosed in a cylinder fitted with a movable piston. If pressure of the system is higher, the piston will be pushed up until the pressure of th..

H 2 and O 2 are bubbled through a porous carbon rod into concentrated NaOH. Catalysts are present in the electrodes. ..

The various forms of biomass are mixed with an equal quantity of water in the mixing tank. This forms the slurry. The slurry is fed into the digester through the inlet chamber. When the digester is partially filled with the slurry, the introduction of slurry is stopped and the plant is left..

When the circuit is completed, a deflection is observed in the (G) towards the zinc electrode indicating that the e - are flowing from the Zn electrode to Cu electrode. Al the Zn electrode, oxidation takes place. The 'e' removed or lost or retained by the metal move through the material of the ..