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sa se calculeze valoarea derivatei functiei f:D-R b)f(x)=lgx,in x0=1 /10
c)f(x)=x la 2, in x0=60
E urgent....rog ajutor!!
Multumesc frumos!

Răspuns :



[tex]\it f'(x)=(lgx)' = \left(\dfrac{ln x}{ln10}\right)' = \dfrac{1}{x\cdot ln10} \\\;\\ \\\;\\ f'\left(\dfrac{1}{10}\right) = \dfrac{1}{\dfrac{1}{10}ln10} = \dfrac{10}{ln10}[/tex]



[tex]\it f'(x) = (x^2)'=2x \\\;\\ f'(60) = 2\cdot60=120[/tex]




Bib21
b) f'(x)=(lgx)'=1/xln10
f'(1/10)= 1/(1/10)*ln10= 10/ln10

c) f'(x) = (x^2)'= 2x
f'(60) = 2*60=120.

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