The Power Rule - Fraction Examples - Derivatives Calculus

In this video I go over a couple of example questions finding the derivative of functions with fractions in them using the power rule.

[davidward]

Thank you! I needed this video to fill a hole in my calculus.

[sophiea]

you have really saved me Mathprism! thank you so much!

[BeforetheStorm.]

Thank you very much for this explanation. My teacher did not explain very well but this video helped a lot thank you 👍💯. Subscribed.

[jdsterne]

You're a beauty. Thanks brother. You saved me here big time.

[killaburribo]

thank you so much for this, my professor didn’t properly explain this and there weren’t clear examples in my textbook.

[mathprism]

No problem, I hope it was helpful! If you want to find the derivative of the cubed root of x, the trick is to change the way that we write our original function. We can rewrite the cubed root of x as x^(1/3). From there we can use the power rule like we usually do...We take the exponent (1/3) and that becomes our coefficient out front of x. As for the exponent we subtract 1 from 1/3 which gives us -2/3. So we end up with (1/3)x^(-2/3) or 1/(3x^(2/3)). Let me know if this makes things clearer :)

[meizapsuon]

How are we to find the value of x when the power is in fraction

[RavenWindrunner]

How would you attack a problem that had a sum in the denominator, all the examples had multiplication in the denominator but the questions I have problems with have a sum in them ex(3x/x^2+4)

[manaswinineetu]

Thank you, I was having a small doubt, you clarified it

[unknown]

hey how would u find f'(x) from
f(x)= 4x^3/9 
and 
f(x)= 4x^3 (3x^2-2x+1)

[BBrian]

Wait on the last problem how did you get 2 as a coefficient in the denominator

[Chomppers]

Thank you for the video! How would you go about it if you got something like cube root of x?

[cluborronn]

just switched into IB Higher Level Math 1.5 weeks after school started this was great help to catch up with the rest of the class thank you

[dashawnawillis]

how would you find the derivative of (1+x^2)/(1-x^2)

[mathprism]

No problem, I'm happy to hear that :)

[hmaizalhawa]

what if you have the following function ? 

what would be the derivative of this function ?

[kriscaldwell]

I am trying to find the derivative of
f(x) = x-7/x^2-9
could you please help me?

[suejaap]

why wouldnt u just use the quotient rule?

[kayladenae]

Wow, this helped me so much, thanks!!

[OmarMohamed-vsyw]

Why do you only derivative the x and not the 7