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#1 2008-11-30 02:12:33

ganesh
Moderator

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Pre-University Calculus - III

1. Differentiate

with respect to x.

2. Differentiate the following with respect to x.

(i)


(ii)


(iii)


3. Differentiate the following with respect to x.

(i)


(ii)


(iii)


4. Differentiate the following with respect to x:

(i)


(ii)


5. Differentiate the following with respect to x:

(i)


(ii)


(iii)


(iv)


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#2 2008-12-20 14:16:44

glenn101
Full Member

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Re: Pre-University Calculus - III

1.
I don't know any rules for calculus, I will be learning the quotient, product and all that next year.
So I've managed to solve all this with finding derivatives by rule and the binomial expansion:)
(3x^2-1)^3= (3x^2)^3 (-1)^0 = 27x^6
                 = 3(3x^2)^2 (-1)^1 = 27x^4
                 = 3(3x^2)^1 (-1)^2 = 9x^2
                 = 1(3x^2)^0 (-1)^3 = -3x^2
dy
--  (27x^6+27x^4+9x^2-3x^2)
dx

= 162x^5-108x^3+18x

big_smile

Last edited by glenn101 (2008-12-20 14:22:49)


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