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ERoseM
 2 years ago
Use the definition of the derivative to find f prime(x) for: f(x)= x^22x
ERoseM
 2 years ago
Use the definition of the derivative to find f prime(x) for: f(x)= x^22x

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mathdood
 2 years ago
Best ResponseYou've already chosen the best response.0use nx^n1 but yeah akamushi is right

dpaInc
 2 years ago
Best ResponseYou've already chosen the best response.0if you're going to use the definition you'll need to find the limit of the difference quotient: \[\large \lim_{h \rightarrow 0} \frac {f(x+h)  f(x)}{h}\] \[\large \lim_{h \rightarrow 0} \frac {[(x+h)^22(x+h)]  [x^22x]}{h}\] \[\large \lim_{h \rightarrow 0} \frac {x^2+2xh+h^22x2h  x^2+2x}{h}\] \[\large \lim_{h \rightarrow 0} \frac {2xh+h^22h}{h}\] \[\large \lim_{h \rightarrow 0} \frac {h(2x+h2)}{h}\] \[\large \lim_{h \rightarrow0} 2x+h2\] \[\large =2x+02 = 2x2\]

ERoseM
 2 years ago
Best ResponseYou've already chosen the best response.0Thank you, this help me a lot more.
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