Which of the following functions is (are) even, odd or neither: f(x)=sinx−cosx View Solution Find the intervals in whichf(x)=xlogxis increasing or decreasing View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium ...
To determine whether the function f(x)=log(sinx) is increasing or decreasing on the specified intervals, we will follow these steps: Step 1: Differentiate the functionWe start by finding the derivative of the function f(x). f′(x)=ddx(log(sinx))=1sinx⋅cosx=cotx ...
To show that a function is nondecreasing (or increasing) we will show that its derivative is positive. To obtain derivatives of various functions we may need to use the following formulae. ddx(xn)=nxn−1,ddx(logbx)=1xlnbddx[af(x)+bg...
In mathematics, the logarithm to base b is the inverse function of exponentiation with base b. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3,...
We say that a function U=u(Y) is a monotonic transformation of the model output if u(· ) is a monotonically increasing (or decreasing) function of its argument. For instance, in a logarithmic transformation, we have U=log(Y). Clearly, this transformation applies for all random model out...
FIO-3636 Project Plan: Selecting Team Pro plan and increasing and then decreasing a number of PDFs by one step, I get 1000 / month PDF downloads instead of 10 / month. Switching to Enterprise after that, I see 1 PDF Form instead of 25...
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(t) or a recursively defined function. When R ≫ tC, any one of these records is effectively a horizontal interval. Within a square of side 2R, it occupies a very thin horizontal slice. Therefore, if we followSection 2.5and weigh our record proportionately to time elapsed, we find that...
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Therefore, accurately determining the lipophilicity of potential drugs is critical to increasing their chances of success in the development and evaluation processes. Lipophilicity is generally quantitatively expressed with the n-octanol/water partition coefficient (logP) or the n-octanol/buffer solution ...