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#1 2008-11-29 03:12:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 46,234

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)


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

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#2 2008-12-19 15:16:44

glenn101
Member
Registered: 2008-04-02
Posts: 108

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 (2008-12-19 15:22:49)


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