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C1 Differentiation question Watch

1. Hi, I'm not sure how this question is meant to be worked out. Could somebody show me how you'd approach this?

Find the derived function, given that f(x) equals:

2. Reciprocal rule?
3. (Original post by Mr Inquisitive)
Hi, I'm not sure how this question is meant to be worked out. Could somebody show me how you'd approach this?

Find the derived function, given that f(x) equals:

that is the same as x^(-2)
Can you do it now?
4. (Original post by Mr Inquisitive)
Hi, I'm not sure how this question is meant to be worked out. Could somebody show me how you'd approach this?

Find the derived function, given that f(x) equals:

1 over anything equals the denominator to the negative power. For example: is the same as . So or for that example is . Hope this helps.
5. Ah, I get it now. So it would be ?
6. (Original post by Mr Inquisitive)
Ah, I get it now. So it would be ?
Yeah thats fine
7. Yes, -2x^-3. Which can also be written as -2/x^3
8. (Original post by Mr Inquisitive)
Ah, I get it now. So it would be ?
yeh
You could write it back as a fraction to tidy up though
9. (Original post by Rational Paradox)
Yeah thats fine
Are you sure? It's not being integrated.
10. Add one to the power, don't take away one from the power
No, you should take one away from the power when differentiating.
11. (Original post by Rational Paradox)
Yeah thats fine
the new power is n-1 for differentiation. n+1 for integration, where n is the original power.
12. f(x) can be written and x^(-2)

So as the rule goes, bring the power to the front, take one off the power

-2x^(-3)

which is the same as
-2
x^3
13. Thank you all.
14. Whenever I'm faced with something like that to differentiate, I turn it back into a fraction once I've differentiated because it looks tidier. is the same as

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