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Mathematics 11 Online
OpenStudy (anonymous):

Finding the derivative (Problem is in the comments)

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

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!

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 :)

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 :)

OpenStudy (anonymous):

awesome thank you! :)

hartnn (hartnn):

welcome :)

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