pochodne funkcji (tryg. cykl. area, itp.)

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Question		Answer
(x^n)' start learning		n*x^(n-1)
(a^x)' (a = const) start learning		(a^x) * ln a
(e^x)' start learning		e^x
(sin x)' start learning		cos x
(cos x)' start learning		-sin x
(tg x)' start learning		1/cos^2
(ctg x)' start learning		-1/sin^2
(log a X) (a=const) start learning		1/x * ln a
(ln x)' start learning		1/x
(arcsin x)' start learning		1/√ (1-x^2)
(arccos x)' start learning		-1/√ (1-x^2)
(arc tg x)' start learning		1/(1+x^2)
(arc ctg x)' start learning		-1/(1+x^2)
(sinh x)' start learning		cosh x
(cosh x)' start learning		sinh x
(tgh x)' start learning		1/cosh^2
(ctgh x)' start learning		-1/sinh^2
(ar sinh x)' start learning		1/√ (1+x^2)
(ar cosh x)' start learning		1/√ (x^2 -1)
(ar tgh x)' start learning		1/(1-x^2)
(ar ctgh x)' start learning		1/(1-x^2)
(f(g(x))' start learning		f ' (g(x)) * g ' (x)

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