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\[the derivative = 2x ^{-3}-5x ^{-1}\]

an then you do this to derive it....

\[derivative= -6x+5x ^{-2}\]

the above is your answer

or you can write the answer like this...

\[derivative = -6x+(5/x ^{2})\]

Fan me if that helped :D

why does the 5/s change to 5s^-1?? can you please tell me how to change

other examples are 288/x^7 = 288x^-7

IF 5/s if equal to 5s^-1 then why is it 5s^-2??

actually, its the rules of exponents.
So when you have
\[X ^{-a} = 1/(X ^{a})\]

the negative sign represents the inverse.

wow I just realised that I made a mistake

the final answer should be -6x^(-4)+5x^(-2)

sorry about that

yeah so like I was saying before you subtract 1 from the exponents

the final answer in the ANSWERS SHEET IS
\[-6/s^{4} + 5/s^{2}\]

thank you heaps... that is great ~ i can actually see what is happening :)

no problem. calculus is very easy if you just follow all the rules properly =)

do u no a good website where i can learn calculus quickly?

great thanks heaps :)

yup