Mathematics
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OpenStudy (madisonkayelee):
What is the slope of the following curve at the point (3, 12)?
f(x)=x^2+3
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OpenStudy (aggie12341):
3
OpenStudy (3mar):
May I help?
OpenStudy (madisonkayelee):
yes please
OpenStudy (3mar):
Thank you.
OpenStudy (3mar):
If we are given a function (of any form), its slope is equal to its first derivative.
ok?
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OpenStudy (madisonkayelee):
but its not one of the choices
OpenStudy (3mar):
What are these chioces?
OpenStudy (madisonkayelee):
2,6,9,12
OpenStudy (isaac_412):
Hi
OpenStudy (3mar):
"but its not one of the choices "
I did not choose any yet!
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OpenStudy (madisonkayelee):
i wasnt meaning your answer
OpenStudy (3mar):
so whose?
OpenStudy (madisonkayelee):
aggies
OpenStudy (3mar):
It is not correct, with my respect to her!
OpenStudy (madisonkayelee):
i see that but thank you both
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OpenStudy (3mar):
Anyway, Let's continue!
OpenStudy (3mar):
Thank you.
OpenStudy (madisonkayelee):
for what
OpenStudy (3mar):
For that!
"i see that but thank you both"
OpenStudy (3mar):
The first derivative of this function is?
Can you get it?
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OpenStudy (jtresatti2):
its 3
OpenStudy (madisonkayelee):
2x is what i got
OpenStudy (3mar):
Great!
OpenStudy (3mar):
So if we substitute with the given point in this derivative (slope), what you got?
OpenStudy (3mar):
Do you follow?
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OpenStudy (madisonkayelee):
no im lost im sorry
OpenStudy (3mar):
What is the slope?
OpenStudy (3mar):
\[slope=\frac{ dy }{ dx }=2x\]
Good?
OpenStudy (3mar):
Substitute with (3,12) in the slope
i.e replace every x with 3
You will get:2(3)=6
Hope that helps
OpenStudy (3mar):
10 min and I come back In Sha' Allah
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OpenStudy (jtresatti2):
its 3