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Use the definition of the derivative to find f prime(x) for: f(x)= x^22x
 one year ago
 one year ago
Use the definition of the derivative to find f prime(x) for: f(x)= x^22x
 one year ago
 one year ago

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mathdoodBest ResponseYou've already chosen the best response.0
use nx^n1 but yeah akamushi is right
 one year ago

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

ERoseMBest ResponseYou've already chosen the best response.0
Thank you, this help me a lot more.
 one year ago
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