the expression is an indefinite integral. In such a case, the functionF(x) resulting from integration is determined only to within the addition of an arbitrary constantC,since in computing the derivative any constant terms having derivatives equal to zero are lost; the expression for the indefini...
Functional Derivative with Respect to Single Function Copy Code Copy Command Find the functional derivative of the functional S[y]=∫aby(x)sin(y(x))dx with respect to the function y, where the integrand is f[y(x)]=y(x)sin(y(x)). Declare y(x) as a symbolic function and define f...
Find the value of the derivative (if it exists) at each indicated extremum. f(x)=12x3−32x2+1 Derivative of a Function In mathematics, the derivative of a function is applied in measuring the rate of change of the function at particular point...
The derivative of a function {eq}f {/eq} is given by {eq}f'\left( x \right) = x\left( {x - 1} \right){\left( {x + 2} \right)^2} {/eq}. Determine the critical point.Critical Point:The point (value of the variable) of a functio...
Answer to: Consider the following derivative of a function: f'(x) = x^{-5/7} (x+5). At what points, if any, does the function assume local maximum...
within the domain of interest. More generally for DCFs the minimum constrained derivative order, m can take on any value or a set of specific high order derivatives can be constrained. They are designed to prevent the loss of signals when fitting out dominant smooth foregrounds or large ...
When a Transfer Fcn block also acts on the input or output signal of the Derivative block, implement the derivative for the signal by adding a zero in the transfer function instead. To compute the finite difference, or difference quotient, for a discrete signal in a discrete system, use the...
Answer to: Find the derivative of the following function. f(t) = (1 + \sqrt{t}) (6t^{2} - 9) By signing up, you'll get thousands of step-by-step...
Moderate execution speeds. We aim computing agradientwithin no more than 50 times the duration offunction evaluationby manually tuned code. Composition of functions using arithmetic operators, Exp, Log, Power and user-defined unary and binary functions. ...
Answer to: Find the derivative of the function f (x) = sin x cos x. By signing up, you'll get thousands of step-by-step solutions to your homework...