Search results
Results from the WOW.Com Content Network
Just as the integration by parts above reduced the integral of secant cubed to the integral of secant to the first power, so a similar process reduces the integral of higher odd powers of secant to lower ones. This is the secant reduction formula, which follows the syntax:
In particular, it can be used to evaluate the integral of the secant cubed, which, though seemingly special, comes up rather frequently in applications. [ 1 ] The definite integral of the secant function starting from 0 {\displaystyle 0} is the inverse Gudermannian function , gd − 1 . {\textstyle \operatorname {gd} ^{-1}.}
In mathematics, the problem of differentiation of integrals is that of determining under what circumstances the mean value integral of a suitable function on a small neighbourhood of a point approximates the value of the function at that point.
In calculus, the power rule is used to differentiate functions of the form () =, whenever is a real number.Since differentiation is a linear operation on the space of differentiable functions, polynomials can also be differentiated using this rule.
Stock valuation is the method of calculating theoretical values of companies and their stocks.The main use of these methods is to predict future market prices, or more generally, potential market prices, and thus to profit from price movement – stocks that are judged undervalued (with respect to their theoretical value) are bought, while stocks that are judged overvalued are sold, in the ...
In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.
In financial economics, contingent claim analysis is widely used as a framework both for developing pricing models, and for extending the theory. [6] Thus, from its origins in option pricing and the valuation of corporate liabilities, [7] it has become a major approach to intertemporal equilibrium under uncertainty.
For example, the delta of an option is the value an option changes due to a $1 move in the underlying commodity or equity/stock. See Risk factor (finance) § Financial risks for the market . To calculate 'impact of prices' the formula is: Impact of prices = option delta × price move; so if the price moves $100 and the option's delta is 0.05% ...