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Jonask
 one year ago
Best ResponseYou've already chosen the best response.0f(x+h) means where you see the x you add h DO NOT FOCUS ON OTHER NUMBERS

Zelda
 one year ago
Best ResponseYou've already chosen the best response.010x Should be the final answer.

Jonask
 one year ago
Best ResponseYou've already chosen the best response.0@Zelda theres no limit here

april1renee
 one year ago
Best ResponseYou've already chosen the best response.05(x+h)^2 f(5x^2) ??

april1renee
 one year ago
Best ResponseYou've already chosen the best response.05(x^2+2xh+h^2)= 5x^2+10xh+5h^2

Zelda
 one year ago
Best ResponseYou've already chosen the best response.0Hey april, is there the word lim as h> 0 before f(x)?

Jonask
 one year ago
Best ResponseYou've already chosen the best response.05x^2+10xh+5h^2(5x^2+10x+5h)=

april1renee
 one year ago
Best ResponseYou've already chosen the best response.0the answer i have is 10x+5h

Jonask
 one year ago
Best ResponseYou've already chosen the best response.0yes but is there any thing like this \[\lim_{h \rightarrow 0}\] on the question

april1renee
 one year ago
Best ResponseYou've already chosen the best response.0professor answer is 5(2x+h) i dont undestand why i would divide by 5

ZeHanz
 one year ago
Best ResponseYou've already chosen the best response.1It would be (very much) more clear if everyone wouldn't just write peaces of the problem, but the whole thing:\[\frac{ f(x+h)f(x) }{ h }=\frac{ 5(x+h)^25x^2 }{ h }=\frac{ 5(x^2+2xh+h^2)5x^2 }{ h }\]See? Just keep on writing the complete fraction, simpifying it along the way, until you're done:\[\frac{ 5x^2+10xh+5h^25x^2 }{ h }=\frac{ 10xh+5h^2 }{ h }=\frac{ 5h(2x+h) }{ h }=5(2x+h)\]So finally we've lost the fraction! Sooner or later the question of what will happen if h goes to 0 will be asked. Here you see immediately that leads to 10x.

ZeHanz
 one year ago
Best ResponseYou've already chosen the best response.1Of course, you could write the answer also as 10x + 5h
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