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# Help !! Differentiation and integration Watch

1. How would you differentiate and integrate 8/√x ?
Also how would you integrate 6/x^2 ?

Thanks
2. (Original post by nisha.sri)
How would you differentiate and integrate 8/√x ?
Also how would you integrate 6/x^2 ?

Thanks
What have you got so far?

Hint: write the expressions in the form
3. (Original post by Tau)
What have you got so far?

Hint: write the expressions in the form
So for differentiating 8/√x i've got 8/x^3/2
4. (Original post by nisha.sri)
How would you differentiate and integrate 8/√x ?
Also how would you integrate 6/x^2 ?

Thanks
you know right?
5. (Original post by 123Master321)
you know right?
Yep
6. (Original post by nisha.sri)
Yep
are you still stuck?
7. (Original post by nisha.sri)
So for differentiating 8/√x i've got 8/x^3/2
Not quite. Do you know how to differentiate something like ? Consider what rule you're using, and apply that to this question.
8. (Original post by 123Master321)
are you still stuck?
Yep because for 8/√x I've got 8/X^3/2 is that right ?
9. (Original post by nisha.sri)
How would you differentiate and integrate 8/√x ?
Also how would you integrate 6/x^2 ?

Thanks
From here you can use the standard differentiation power rule. The rearranging is the same idea in the second question, then you can do the standard add 1 to the power and then divide by the new power rule.
10. (Original post by nisha.sri)
Yep because for 8/√x I've got 8/X^3/2 is that right ?
No, not sure how you got there, try using
11. (Original post by 123Master321)
No, not sure how you got there, try using
Oh yes i know where i went wrong thanks
How would you do 4√x
12. sqrx=x^1/2 so 4sqrx=4x^1/2
13. Then you differentiate accordingly
14. Thanks guys i've worked it out
15. (Original post by nisha.sri)
How would you differentiate and integrate 8/√x ?
Also how would you integrate 6/x^2 ?

Thanks
Just rewrite them both using powers.
square root x = x^1/2
etc..

Also, just remember: 8/√x is = 8 * 1/√x
and dont forget the +C when integrating XD until you come to C2.

Updated: October 15, 2016
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