Finding the derivative (Problem is in the comments)
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OpenStudy (anonymous):
OpenStudy (anonymous):
(0,-1/2) ? Is it a coordinate point or both values of x.
OpenStudy (anonymous):
coordinate point
hartnn (hartnn):
so could you find f'(x) ?
OpenStudy (anonymous):
I dont understand how to
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hartnn (hartnn):
derivative of constant = 0
so,
d/dx (-1/2) = 0
and to get d/dx (x^3)
you need the formula for d/dx(x^n)
do u have it ?
OpenStudy (anonymous):
is it 21/5 x^2?
hartnn (hartnn):
absolutely :)
now just put the co-ordinate in it,
put x=0
OpenStudy (anonymous):
is the answer 0 then?
hartnn (hartnn):
yes!
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OpenStudy (anonymous):
thank you so much!
hartnn (hartnn):
welcome ^_^
OpenStudy (anonymous):
Can you help me with something else really fast?
OpenStudy (anonymous):
I got the answer but I'm not sure if it is right
hartnn (hartnn):
sure :)
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OpenStudy (anonymous):
I got -7x^6 sinx^7 but I wasnt sure if you plug the 0 in and the limit then becomes 0?
hartnn (hartnn):
no, the 'x' does not tend to 0, the 'h' tends to 0
you get that by plugging h=0, the 'x' stays it is and so
-7x^6 sinx^7
is the correct final answer :)