Solve for the value of c using the mean value theorem given the derivative of a function that is continuous and differentiable on [a,b] and (a,b), respectively, and the values of a and b. Get the free "Mean Value Theorem Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.The director's biggest inspiration for the sequence were the helicopters in "Apocalypse Now." After six seasons of build up over the fearsome power of the dragons, fire finally rai...StateSpace — implicitly solves for derivatives to use an underlying ODE solver; If the system has index higher than 1, both of these solvers typically fail. To accurately solve such systems, index reduction is needed. Note that index-1 systems can be reduced to ODEs, but it is often more efficient to use one of the solvers above.

The partial derivative D [f [x], x] is defined as , and higher derivatives D [f [x, y], x, y] are defined recursively as etc. The order of derivatives n and m can be symbolic and they are assumed to be positive integers.The derivative of cosh(x) with respect to x is sinh(x). One can verify this result using the definitions cosh(x) = (e^x + e^(-x))/2 and sinh(x) = (e^x – e^(-x))/2. By definition, t...Get the free "Derivative Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.

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