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anonymous
 5 years ago
Find and simplify the difference quotient of the function f (x) = (3x+1)/(4x) . Find the first derivative f′(x) from the definition, using the rules for limits.
anonymous
 5 years ago
Find and simplify the difference quotient of the function f (x) = (3x+1)/(4x) . Find the first derivative f′(x) from the definition, using the rules for limits.

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f(x)= 3x/4x +1/4x = 3/4 + 1/4x f'(x)= lim [f(x+h)f(x)]/h as h>0 f'(x)= lim (3/4 + 1/4(x+h) 3/4  1/4x) /h f'(x)= lim [(xhx)/(4x(h+x))]/h f'(x)= lim [h/(4xh(x+h)]= lim (1/(4x(x+h))] as h>0 f'(x)= 1/(4x^2) < answer

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0is that the derivative of the function or the difference quotient?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the first equation is difference quotient the last equation is the derivative

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0aahh got it. i couldn't see the little dash. tanks again

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what happens to h at the end of the equation?
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