Повторение производной1,2,3 номерПолностью расписать решения

(c)' = 0;

(x)' = 1;

(u pm v)' = u' pm v';

(cu)' = cu';

(uv)' = u'v+v'u;

(frac{u}{v})' = frac{u'v - v'u}{v^{2}}

(frac{c}{x})' = -frac{c}{x^{2}}

(x^n)' = nx^{n-1}

(sqrt{x})' = frac{1}{2sqrt{x}}

(c^{x})' = c^{x}cdotln{c}; c>0, c neq 1

(e^{x})' = e^{x}; c>0, c neq 1

(log_{c}{x})' = frac{1}{x}cdotlog_{c}{e} = frac{1}{xln{c}}

(ln{u})' = frac{1}{x}

(sin{x})' = cos{x}

(cos{x})' = -sin{x}

(tg {x})' = frac{1}{cos^{2}{x}}

(ctg {x})' = -frac{1}{sin^{2}{x}}

(sec{x})' = sec{x}cdot{tg {x}}

(cosec {x})' = -cosec {x}cdot{ctg {x}}

(arcsin{x})' = frac{1}{sqrt{1-x^{2}}}

(arccos{x})' = -frac{1}{sqrt{1-x^{2}}}

(arctg {x})' = frac{1}{1+x^{2}}

(arcctg {x})' = -frac{1}{1+x^{2}}