derivative of constant raised to a variable

Let f(x) = k be the given function. Then, we have Therefore derivative of a constant is 0. or..

Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply. Application of derivatives are us..

A cannon ball was fired, which raised into air at a constant rate of 47 ft/sec. Find the velocity and speed of the cannon ball. => 47 ft/sec, 47 ft/sec or - 47 ft/sec, 47 ft/sec or 1 47 ft/sec, 47 ft/sec or 47 ft/sec, 1 47 ft/sec..

Velocity, acceleration, density, area, volume, force, etc., have no constant value, but have dimension..

The relationship between critical constants of the gases and their Van der Waal constants is as follows: (i) V c = 3b (ii) P c = a/27b 2 (iii) T c = 8a/27Rb (iv) The critical compressibility factor Z c is given b..

> will be dominant species in the system at equilibrium. For the reaction at 298 K, Large value of K, indicates that at equilibrium, a major portion of nitrogen and hydrogen (mixed in the molar ratio 1:3) will be converted into ammonia. Industrially ammonia is manufactured at a high pressure of 152..

Introduction - Let us began this chapter with the following statement: Often a physician may want to test how small changes in dosage can affect the body's response to a particular drug. An economist may want to study how investment changes with variation in interest rates. How the velocity of a he..

The derivative of the function f with respect to a variable x is the function f ' whose value at x is provided the limit exist..

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 eq..

Consider a reversible reaction expressed by the following general equation: where A and B are two substances which react to form new substances C and D and C and D react under the same conditions forming the original substances A and B. Let us assume that the concentrations of these four substances..