/ / x\\ 2/ x \ | \e /| /cos(x)\ x*tanh |------------------| + log\x / + log|------| | / / sinh(x)\\| \sin(x)/ | | \e /|| \x*sin\x //
x*tanh(x/((x*sin(x^exp(sinh(x))))))^2 + log(x^exp(x)) + log(cos(x)/sin(x))
/ 2 \ | cos (x)| / / / sinh(x)\\ / sinh(x)\ / sinh(x) \ / / sinh(x)\\\ |-1 - -------|*sin(x) | | \e /| \e / |e sinh(x) | | \e /|| x | 2 | | - sin\x / - x*x *|-------- + cosh(x)*e *log(x)|*cos\x /| 2/ x \ e x \ sin (x)/ / 2/ x \\ | 1 \ x / | / x \ tanh |------------------| + -- + e *log(x) + --------------------- + 2*x*|1 - tanh |------------------||*|------------------ + ----------------------------------------------------------------------------------------|*tanh|------------------| | / / sinh(x)\\| x cos(x) | | / / sinh(x)\\|| | / / sinh(x)\\ / / sinh(x)\\ | | / / sinh(x)\\| | | \e /|| | | | \e /||| | | \e /| 2| \e /| | | | \e /|| \x*sin\x // \ \x*sin\x /// \x*sin\x / x*sin \x / / \x*sin\x //
2 2 / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\\ \ | \e / /1 \ | \e /| sinh(x) | \e /|| | \e / /1 \ | \e /| sinh(x) | \e /|| | \e / /1 \ | \e /| sinh(x) | \e /|| | /1 \ | \e / /1 \ | \e /| sinh(x) | \e /|| | \e /| | 2 | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| / sinh(x)\ | / / sinh(x)\\ / / sinh(x)\\ 2 / / sinh(x)\\ 2*|- + cosh(x)*log(x)|*|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*cos\x / / sinh(x)\ 2 / / sinh(x)\\| / 2 \ / 2/ 1 \\ | \x / | | \x / | 2/ 1 \ / 2/ 1 \\ / 2/ 1 \\ | \x / | / 1 \ \e / / 2/ 1 \\ | /1 \ | \e /| / 1 2 2*cosh(x)\ | \e /| /1 \ | \e /| sinh(x) \x / \ \x / / \e / /1 \ sinh(x) | \e /|| sinh(x) / 1 \ 2 | cos (x)| 2*|-1 + tanh |----------------|| *|-1 + -------------------------------------------------------------------------------| 4*|-1 + -------------------------------------------------------------------------------| *tanh |----------------|*|-1 + tanh |----------------|| 4*|-1 + tanh |----------------||*|-1 + -------------------------------------------------------------------------------|*tanh|----------------| 2*x *|-1 + tanh |----------------||*|- 2*|- + cosh(x)*log(x)|*cos\x / - x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x / - x*|- + cosh(x)*log(x)| *cos\x /*e + ------------------------------------------------------------------------------------------------------------------------- + x*x *|- + cosh(x)*log(x)| *e *sin\x /|*e *tanh|----------------| sin (x)*|1 + -------| | | / / sinh(x)\\|| | / / sinh(x)\\ | | / / sinh(x)\\ | | / / sinh(x)\\| | | / / sinh(x)\\|| | | / / sinh(x)\\|| | / / sinh(x)\\ | | / / sinh(x)\\| | | / / sinh(x)\\|| | \x / | 2 x | \x / / / sinh(x)\\ \x / | | / / sinh(x)\\| 2 x x | 2 | | | | \e /||| | | \e /| | | | \e /| | | | \e /|| | | | \e /||| | | | \e /||| | | \e /| | | | \e /|| | | | \e /||| | \ x / | \e /| | | | \e /|| cos (x) x e 2*e \ sin (x)/ \ \sin\x /// \ sin\x / / \ sin\x / / \sin\x // \ \sin\x /// \ \sin\x /// \ sin\x / / \sin\x // \ \sin\x /// \ sin\x / / \sin\x // 1 + ------- + e *log(x) - -- + ---- - --------------------- + ------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 2 x 2 / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ sin (x) x cos (x) 2| \e /| 2| \e /| | \e /| 2| \e /| x*sin \x / x*sin \x / x*sin\x / sin \x /
/ / / sinh(x)\ / / sinh(x)\\ \ \ | | \e / /1 \ | \e /| sinh(x)| | | | x *|- + cosh(x)*log(x)|*cos\x /*e | / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ | | |1 \x / | | \e / /1 \ | \e /| sinh(x) | \e /|| / sinh(x)\ / / / sinh(x)\\ / / sinh(x)\\ 2 / / sinh(x)\\ / sinh(x)\ 2 / / sinh(x)\\\ / sinh(x)\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\\ sinh(x) / / / sinh(x)\\ / / sinh(x)\\ 2 / / sinh(x)\\ / sinh(x)\ 2 / / sinh(x)\\\ / / sinh(x)\\ | 2 3 2 3 | / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\ |- + ----------------------------------------------------------|*|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| \e / | /1 \ | \e /| / 1 2 2*cosh(x)\ | \e /| /1 \ | \e /| sinh(x) \e / /1 \ sinh(x) | \e /|| sinh(x) sinh(x) 2 / / sinh(x)\\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / sinh(x)\ 2 / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\\ \e / | \e / /1 \ | \e /| sinh(x) | \e /|| / 1 2 2*cosh(x)\ | \e /| sinh(x) 2*e /1 \ | /1 \ | \e /| / 1 2 2*cosh(x)\ | \e /| /1 \ | \e /| sinh(x) \e / /1 \ sinh(x) | \e /|| | \e /| 2*sinh(x) / sinh(x)\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\\ | / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\\ \ / / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\\ \ / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ / / sinh(x)\\ \ | \e / /1 \ | \e /| sinh(x) | \e /| |x / / sinh(x)\\ | \ \x / / x *|2*|- + cosh(x)*log(x)|*cos\x / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x / + x*|- + cosh(x)*log(x)| *cos\x /*e - x*x *|- + cosh(x)*log(x)| *e *sin\x /|*e 2*e /1 \ 2| \e /| | \e / /1 \ | \e /| sinh(x) | \e /|| 2*sinh(x) \e / /1 \ | \e / /1 \ | \e /| sinh(x) | \e /|| | \e /| 2*sinh(x) 2*x *|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x /*e 4*x *|- + cosh(x)*log(x)|*|2*|- + cosh(x)*log(x)|*cos\x / + x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x / + x*|- + cosh(x)*log(x)| *cos\x /*e - x*x *|- + cosh(x)*log(x)| *e *sin\x /|*cos\x /*e \e / /1 \ | \e / /1 \ | \e /| sinh(x) | \e /|| | \e /| sinh(x)| | \e / /1 \ | \e /| sinh(x) | \e /|| | \e / /1 \ | \e /| sinh(x) | \e /|| | \e / /1 \ | \e /| sinh(x) | \e /|| | \e / /1 \ | \e /| sinh(x) | \e /|| | \e / /1 \ | \e /| sinh(x) | \e /|| | /1 \ | \e / /1 \ | \e /| sinh(x) | \e /|| | \e /| | | /1 \ | \e / /1 \ | \e /| sinh(x) | \e /|| | \e /| | | \e / /1 \ | \e /| sinh(x) | \e /|| | /1 \ | \e / /1 \ | \e /| sinh(x) | \e /|| | \e /| | | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x / | | \e /| | / sinh(x)\ / / / sinh(x)\\ / 2 \ / / sinh(x)\\ 2 / / sinh(x)\\ 3 / / sinh(x)\\ / sinh(x)\ 2 / / sinh(x)\\ sinh(x) 3 / / sinh(x)\\ / / sinh(x)\\ / sinh(x)\ 3 / / sinh(x)\\ / sinh(x)\ / / sinh(x)\\\ | \x / | 2 x | \x / \x / | sinh(x) 2 / / sinh(x)\ / / sinh(x)\\ / / sinh(x)\\\ 6*x *|- + cosh(x)*log(x)| *cos \x /*|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*e 2*x *|- + cosh(x)*log(x)| *|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*cos\x /*e \ \x / / | 2 x | \x / | \x / | 2 x | \x / \x / | 3*x *|- + cosh(x)*log(x)|*|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*cos\x /*e | 2 | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| 2 | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| / sinh(x)\ 2 | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| | / / sinh(x)\\ / / sinh(x)\\ 2 / / sinh(x)\\ 2*|- + cosh(x)*log(x)|*|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*cos\x / / sinh(x)\ 2 / / sinh(x)\\| / sinh(x)\ | / / sinh(x)\\ / / sinh(x)\\ 2 / / sinh(x)\\ 2*|- + cosh(x)*log(x)|*|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*cos\x / / sinh(x)\ 2 / / sinh(x)\\| / sinh(x)\ | x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /| | / / sinh(x)\\ / / sinh(x)\\ 2 / / sinh(x)\\ 2*|- + cosh(x)*log(x)|*|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*cos\x / / sinh(x)\ 2 / / sinh(x)\\| / 4 2 \ / 2 \ / 2 \ / 2/ 1 \\ | \x / \ sin\x / / \e / | / 1 2 2*cosh(x)\ | \e /| |2 3 3*cosh(x) 3*cosh (x) 3*sinh(x) | | \e /| /1 \ | \e /| sinh(x) /1 \ | \e /| 2*sinh(x) \e / /1 \ sinh(x) | \e /| 2*e /1 \ | \e /| 2*sinh(x) /1 \ / 1 2 2*cosh(x)\ | \e /| sinh(x) \e / /1 \ 2*sinh(x) | \e /| \e / /1 \ / 1 2 2*cosh(x)\ sinh(x) | \e /|| sinh(x) \ \ x / / 2*e /1 \ | \e / /1 \ | \e /| sinh(x) | \e /|| 2*sinh(x) \x / \ \x / / \x / \ \x / / \ x / \ \ x / / \x / \ \x / / | / 1 \ / 2/ 1 \\ | \x / | | \x / | 3/ 1 \ / 2/ 1 \\ | \x / | 2/ 1 \ / 2/ 1 \\ / 2/ 1 \\ | \x / | / 1 \ \e / / 2/ 1 \\ | \x / | | /1 \ | \e /| / 1 2 2*cosh(x)\ | \e /| /1 \ | \e /| sinh(x) \x / \ \x / / \e / /1 \ sinh(x) | \e /|| sinh(x) \e / / 2/ 1 \\ | /1 \ | \e /| / 1 2 2*cosh(x)\ | \e /| /1 \ | \e /| sinh(x) \x / \ \x / / \e / /1 \ sinh(x) | \e /|| sinh(x) / 1 \ \e / 2/ 1 \ / 2/ 1 \\ | \x / | | /1 \ | \e /| / 1 2 2*cosh(x)\ | \e /| /1 \ | \e /| sinh(x) \x / \ \x / / \e / /1 \ sinh(x) | \e /|| sinh(x) | 3*cos (x) 4*cos (x)| 3 | cos (x)| | cos (x)| 2*|-1 + tanh |----------------||*|- ------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------- + x *|- 3*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x / - x*|-- + cosh (x)*log(x) + cosh(x)*log(x) - --------- + ---------- + --------- + 3*cosh(x)*log(x)*sinh(x)|*cos\x / - 3*|- + cosh(x)*log(x)| *cos\x /*e - x*|- + cosh(x)*log(x)| *cos\x /*e + 3*x *|- + cosh(x)*log(x)| *e *sin\x / + x*x *|- + cosh(x)*log(x)| *cos\x /*e - 3*x*|- + cosh(x)*log(x)|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x /*e + 3*x*x *|- + cosh(x)*log(x)| *e *sin\x / + 3*x*x *|- + cosh(x)*log(x)|*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*e *sin\x /|*e + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - 2*x *|- + cosh(x)*log(x)| *|x*x *|- + cosh(x)*log(x)|*cos\x /*e + sin\x /|*e - -------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------|*tanh|----------------| 6*|-1 + tanh |----------------|| *|-1 + -------------------------------------------------------------------------------| 8*|-1 + -------------------------------------------------------------------------------| *tanh |----------------|*|-1 + tanh |----------------|| 12*|-1 + -------------------------------------------------------------------------------| *tanh |----------------|*|-1 + tanh |----------------|| 16*|-1 + tanh |----------------|| *|-1 + -------------------------------------------------------------------------------| *tanh|----------------| 6*x *|-1 + tanh |----------------|| *|-1 + -------------------------------------------------------------------------------|*|- 2*|- + cosh(x)*log(x)|*cos\x / - x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x / - x*|- + cosh(x)*log(x)| *cos\x /*e + ------------------------------------------------------------------------------------------------------------------------- + x*x *|- + cosh(x)*log(x)| *e *sin\x /|*e 6*x *|-1 + tanh |----------------||*|- 2*|- + cosh(x)*log(x)|*cos\x / - x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x / - x*|- + cosh(x)*log(x)| *cos\x /*e + ------------------------------------------------------------------------------------------------------------------------- + x*x *|- + cosh(x)*log(x)| *e *sin\x /|*e *tanh|----------------| 12*x *tanh |----------------|*|-1 + tanh |----------------||*|-1 + -------------------------------------------------------------------------------|*|- 2*|- + cosh(x)*log(x)|*cos\x / - x*|- -- + cosh (x)*log(x) + log(x)*sinh(x) + ---------|*cos\x / - x*|- + cosh(x)*log(x)| *cos\x /*e + ------------------------------------------------------------------------------------------------------------------------- + x*x *|- + cosh(x)*log(x)| *e *sin\x /|*e 2*|1 + --------- + ---------|*sin(x) 2*sin (x)*|1 + -------| 2*|1 + -------|*sin(x) | | / / sinh(x)\\|| | 2 x | | 2 x | | 3 2 x x | \x / \x / \x / \x / \x / | 2 x | \x / \x / | 2 x | | x \x / \ \x / / / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ | | / / sinh(x)\\| | | / / sinh(x)\\|| | / / sinh(x)\\ | | / / sinh(x)\\ | | / / sinh(x)\\| | | / / sinh(x)\\|| | / / sinh(x)\\ | | / / sinh(x)\\| | | / / sinh(x)\\|| | | / / sinh(x)\\|| | / / sinh(x)\\ | | / / sinh(x)\\| | | / / sinh(x)\\|| | / / sinh(x)\\ | | \x / | 2 x | \x / / / sinh(x)\\ \x / | | | / / sinh(x)\\|| | \x / | 2 x | \x / / / sinh(x)\\ \x / | | / / sinh(x)\\| | / / sinh(x)\\| | | / / sinh(x)\\|| | / / sinh(x)\\ | | \x / | 2 x | \x / / / sinh(x)\\ \x / | x x x 3 | 4 2 | | 2 | | 2 | | | | \e /||| | x \ \ x / \x x / \ x / \ x / / 2| \e /| | \e /| | \e /| | \e /| | \e /| | | | \e /|| | | | \e /||| | | \e /| | | | \e /| | | | \e /|| | | | \e /||| | | \e /| | | | \e /|| | | | \e /||| | | | \e /||| | | \e /| | | | \e /|| | | | \e /||| | | \e /| | | \ x / | \e /| | | | | \e /||| | \ x / | \e /| | | | \e /|| | | \e /|| | | | \e /||| | | \e /| | | \ x / | \e /| | x 3*e 2*e 3*e 4*cos (x) 4*cos(x) \ sin (x) sin (x) / \ sin (x)/ \ sin (x)/ \ \sin\x /// \ sin \x / sin\x / sin\x / sin\x / x*sin\x / / \sin\x // \ \sin\x /// \ sin\x / / \ sin\x / / \sin\x // \ \sin\x /// \ sin\x / / \sin\x // \ \sin\x /// \ \sin\x /// \ sin\x / / \sin\x // \ \sin\x /// \ sin\x / / \ sin\x / / \ \sin\x /// \ sin\x / / \sin\x // \sin\x // \ \sin\x /// \ sin\x / / \ sin\x / / e *log(x) - ---- + ---- + ---- + --------- + -------- - ------------------------------------ - ----------------------- + ---------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 2 3 x 3 sin(x) cos(x) 3 cos(x) / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ / / sinh(x)\\ x x sin (x) cos (x) 2| \e /| 2 2| \e /| 2 3| \e /| 2 2| \e /| 2 3| \e /| 3| \e /| 2| \e /| 3| \e /| sin \x / x *sin \x / x *sin \x / x *sin \x / x *sin \x / x*sin \x / x*sin \x / x*sin \x /