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Zenmo
 one year ago
Find an equation of the tangent line to the curve at the given point (Calculus Derivatives).
Zenmo
 one year ago
Find an equation of the tangent line to the curve at the given point (Calculus Derivatives).

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freckles
 one year ago
Best ResponseYou've already chosen the best response.2ok what did you find for y'?

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{h \rightarrow 0}\frac{ f(a+h)f(a) }{ h }\] = \[\lim_{h \rightarrow 0}\frac{ [(3+h)^33(3+h)+1(3^33(3)+1)] }{ h }\] . Putting more work on here second

FireKat97
 one year ago
Best ResponseYou've already chosen the best response.0do you have to apply differentiation by first principles? :/

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0\[(3+h)^3; (3+h)(3+h)=9+3h+3h+h^2=9+6h+h^2 ; (9+6h+h^2)(3+h) = 27+18h+3h^2+9h+6h^2+h^3\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Are you familiar with the power rule of differentiation? \[\frac{ d }{ dx }[x^n]=n*x^{n1}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you might like pascal's triangle 4th row says 1 3 3 1 \[(3+h)^3=1(3)^3+3(3)^2h+3(3)h^2+h^3\]

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0Our class isn't on there yet, this is the beginning of calculus for the end of Chapter 2

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\lim_{h \rightarrow 0} \frac{3^3+3(3)^2h+3(3)h^2+h^33(3+h)+1(3^33(3)+1)}{h}\]

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0Sec. I might found the answer.

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0I gotten 6x+1 as the answer.

freckles
 one year ago
Best ResponseYou've already chosen the best response.2ok let's go slow then you do see above the 3^3 's cancel right?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2since 3^33^3=0 and also you should see the 3(3) also known as 9's cancel you know since 9+9=0

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0This is how the book does it. Similar problem.

freckles
 one year ago
Best ResponseYou've already chosen the best response.2you should also see the 1's cancel since 11=0

freckles
 one year ago
Best ResponseYou've already chosen the best response.2\[\lim_{h \rightarrow 0} \frac{3^3+3(3)^2h+3(3)h^2+h^33(3+h)+1(3^33(3)+1)}{h} \\ \lim_{h \rightarrow 0} \frac{3(3)^2h+3(3)h^2+h^33h}{h}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2now divide top and bottom by h

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{h \rightarrow 0}(h^2+9h+27)\] Did u get that?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2should wind up with \[\lim_{h \rightarrow 0} (3(3)^2+3(3)h+h^23)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2something happened to your 3 part above

freckles
 one year ago
Best ResponseYou've already chosen the best response.2should be \[\lim_{h \rightarrow 0} (h^2+9h+273)\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2so your slope on your homework is off which will also make your yintercept you found off too

freckles
 one year ago
Best ResponseYou've already chosen the best response.2please let me know if I need to redo the algebra for you if you don't understand

freckles
 one year ago
Best ResponseYou've already chosen the best response.2I guess you can call it algebra/arithmetic whatever that stuff is

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{h \rightarrow 0}(h^2+9h24)\] that correct? I'm looking at calculations at the moment.

freckles
 one year ago
Best ResponseYou've already chosen the best response.2well 273 is 24 not 24 :p

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0By using the point (3,19) and using the pointslope form for slope M=24. I get \[y=24x+19\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.2y19=f'(3)(x3) y19=24(x3) y19=24x72 hmmm...72+19...

freckles
 one year ago
Best ResponseYou've already chosen the best response.2I hate to be that guy but 72+19 is 53

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0Yea so the answer is \[y=24x53\] ?

freckles
 one year ago
Best ResponseYou've already chosen the best response.2do you understand how we got the slope to be 24?

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0Yea, turns out I was messing up on simple arithmetic/algebra breaks for: adding/subtracting/factoring etc.

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0Yea I understood the core concepts, just messed up with the things from above.

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0Time for a study break haha

Zenmo
 one year ago
Best ResponseYou've already chosen the best response.0Thanks a lot for sticking around and helping. :)

freckles
 one year ago
Best ResponseYou've already chosen the best response.2we all mess on arithmetic just go pet a cat and then come back you will be already (that is my only study advice; cats for the win!)
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