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Question		Answer
f(x)=c start learning		f'(x)=0
f(x)=x start learning		f'(x)=1
f(x)=x^2 start learning		f'(x)=2x
f(x)=x^n start learning		f'(x)=nx^n-1
f(x)=1/x start learning		f'(x)= - 1/x^2
f(x) = √x (x musi byc dodatnie) start learning		f'(x) = 1/2√x
f(x) = n√x (pierwiastek ntego stopnia i tez x dodatnie) start learning		f'(x) = 1/n n√x^(n-1)
f(x) = x^α start learning		f'(x) = α x^α-1
f(x) = e^x start learning		f'(x) = e^x
f(x) = a^x start learning		f(x) = a^x ln a
f(x) = ln x start learning		f'(x) = 1/x
f(x) = loga x start learning		f'(x) = 1/ x ln a
f(x) = sin x start learning		f'(x) = cos x
f(x)= cos x start learning		f'(x)=- sin x
f(x)=tg x start learning		f(x)= 1/cos^2 x
f(x)=ctg x start learning		f'(x)=-1/sin^2 x
f(x)= arcsin x start learning		f'(x)=1/√(1-x^2)
f(x)= arccos x start learning		f'(x)= - 1/√(1-x^2)
f(x)= arctg x start learning		f'(x)=1/(1+x^2)
f(x)=arcctg x start learning		f'(x)= - 1/(1+x^2)

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