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Differentiation

Two questions, needing solutions:

1.Use the differentiation of the derivative to find df/dx when f(x)=1/x . (answer is -1/x^2, but can't see how that is achieved)


2.find the rate of change of the function y(x)=x/x+3 by considering the interval x=3 to x=3+h. (answer: 1/12 , don't understand how that was achieved)
Let's first do part 1. Can you rewrite f(x)=1/x in terms of x and a power. It might become easier to see what to do then.

For part 2, can you differentiate from first principles?
Reply 2
Moved to Maths. Please use the right subject forum. :smile:
Reply 3
Original post by Sinnoh
Moved to Maths. Please use the right subject forum. :smile:



This is an Alevel Maths problem
Reply 4
Original post by y.u.mad.bro?
Let's first do part 1. Can you rewrite f(x)=1/x in terms of x and a power. It might become easier to see what to do then.

For part 2, can you differentiate from first principles?


Thank you, used first principles and found the answers :smile:
Reply 5
Original post by EBris.
Thank you, used first principles and found the answers :smile:


First principles are amazing...allowed Newton to unlock the cosmos.
Original post by EBris.
Thank you, used first principles and found the answers :smile:


That's great. Did you manage to do part 1?
Reply 7
Original post by EBris.
This is an Alevel Maths problem


It sure is, but that's not what the A-level forum is for, it is what the individual subject help forum is for.
The subject help forums aren't separated into different levels because an A-level student can still help out a GCSE student, someone doing their phD can still help someone out on an A-level question.
(edited 5 years ago)

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