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Mathematics 16 Online
OpenStudy (madisonkayelee):

What is the slope of the following curve at the point (3, 12)? f(x)=x^2+3

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?

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!

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

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?

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?

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

OpenStudy (jtresatti2):

its 3

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