/ ___\ atan\\/ x / 7 cot (x)
Не могу найти шаги в поиске этой производной.
Но производная
Ответ:
/ ___\ atan\\/ x / // 2 \ / ___\ / 7 \ \ 7 |\-7 - 7*cot (x)/*atan\\/ x / log\cot (x)/ | cot (x) *|---------------------------- + ---------------| | cot(x) ___ | \ 2*\/ x *(1 + x)/
/ 2 \ |/ / 7 \ / 2 \ / ___\\ | || log\cot (x)/ 14*\1 + cot (x)/*atan\\/ x /| | / ___\ ||- ------------- + ----------------------------| 2 | atan\\/ x / || ___ cot(x) | / 2 \ / ___\ / 7 \ / 7 \ / 2 \ | 7 |\ \/ x *(1 + x) / / 2 \ / ___\ 7*\1 + cot (x)/ *atan\\/ x / log\cot (x)/ log\cot (x)/ 7*\1 + cot (x)/ | cot (x) *|------------------------------------------------- + 14*\1 + cot (x)/*atan\\/ x / - ---------------------------- - ---------------- - -------------- - --------------------| | 4 2 ___ 2 3/2 ___ | \ cot (x) 2*\/ x *(1 + x) 4*x *(1 + x) \/ x *(1 + x)*cot(x)/
/ 3 / 2 \ \ | / / 7 \ / 2 \ / ___\\ / / 7 \ / 2 \ / ___\\ | / 7 \ / 7 \ / 2 \ / ___\ / 2 \ | | | | log\cot (x)/ 14*\1 + cot (x)/*atan\\/ x /| | log\cot (x)/ 14*\1 + cot (x)/*atan\\/ x /| | / 2 \ / ___\ log\cot (x)/ 2*log\cot (x)/ 28*\1 + cot (x)/ *atan\\/ x / 28*\1 + cot (x)/ | | / ___\ | |- ------------- + ----------------------------| 3*|- ------------- + ----------------------------|*|- 56*\1 + cot (x)/*atan\\/ x / + ------------ + -------------- + ----------------------------- + --------------------| 3 2 2 | atan\\/ x / | | ___ cot(x) | | ___ cot(x) | | 3/2 ___ 2 2 ___ | / 7 \ / 7 \ / 2 \ / ___\ / 2 \ / 2 \ / ___\ / 7 \ / 2 \ / 2 \ / 2 \ | 7 | \ \/ x *(1 + x) / \ \/ x *(1 + x) / \ x *(1 + x) \/ x *(1 + x) cot (x) \/ x *(1 + x)*cot(x)/ log\cot (x)/ log\cot (x)/ / 2 \ / ___\ 14*\1 + cot (x)/ *atan\\/ x / 21*\1 + cot (x)/ 28*\1 + cot (x)/ *atan\\/ x / 3*log\cot (x)/ 21*\1 + cot (x)/ 21*\1 + cot (x)/ 21*\1 + cot (x)/ | cot (x) *|- ------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------- + --------------- - 28*\1 + cot (x)/*atan\\/ x /*cot(x) - ----------------------------- + ---------------- + ----------------------------- + -------------- - ----------------------- + ----------------------- + ---------------------| | 8 8 ___ 3 3/2 2 3 ___ cot(x) 5/2 ___ 2 ___ 2 3/2 | \ \/ x *(1 + x) 2*x *(1 + x) cot (x) \/ x *(1 + x) 8*x *(1 + x) 2*\/ x *(1 + x)*cot (x) 2*\/ x *(1 + x) *cot(x) 4*x *(1 + x)*cot(x)/