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In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used to show that the power rule holds for negative exponents if it has already been established for positive exponents.
A slope greater than one thus indicates positively cooperative binding between the receptor and the ligand, while a slope less than one indicates negatively cooperative binding. Transformations of equations into linear forms such as this were very useful before the widespread use of computers, as they allowed researchers to determine parameters ...
An important application is Newton–Raphson division, which can be used to quickly find the reciprocal of a number a, using only multiplication and subtraction, that is to say the number x such that 1 / x = a. We can rephrase that as finding the zero of f(x) = 1 / x − a. We have f ′ (x) = − 1 / x 2 . Newton's ...
In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof. [1] [2] [3]
For a single rate-limited thermally activated process, an Arrhenius plot gives a straight line, from which the activation energy and the pre-exponential factor can both be determined. The Arrhenius equation can be given in the form: k = A exp ( − E a R T ) = A exp ( − E a ′ k B T ) {\displaystyle k=A\exp \left({\frac {-E_{\text{a ...
The ratio is called coefficient of proportionality (or proportionality constant) and its reciprocal is known as constant of normalization (or normalizing constant). Two sequences are inversely proportional if corresponding elements have a constant product, also called the coefficient of proportionality.
Step 1: Find your overall loan amount. Find the overall loan amount by multiplying the amount to be borrowed by the factor rate. Example: $100,000 x 1.5 = $150,000. Step 2: Find the total interest ...
From this plot, − Δ r H / R is the slope, and Δ r S / R is the intercept of the linear fit. By measuring the equilibrium constant , K eq , at different temperatures, the Van 't Hoff plot can be used to assess a reaction when temperature changes.