Author Topic: Differentiating exponentials and logarithms (Read 3159 times)

nid404 · « **Reply #15 on:** July 25, 2010, 01:22:57 pm »

ohkay gimme some time.

nid404 · « **Reply #16 on:** July 26, 2010, 12:34:51 pm »

4 D

1 f) $\int^0_-1 2+$ $\frac{1}{x-1} dx$

$\int^0_-1$ $2x+ln |(x-1)|$

= 0- (-2+ ln|(-2)|
= 2-ln 2

nid404 · « **Reply #17 on:** July 26, 2010, 12:38:37 pm »

I'll have a nap and do the rest

nid404 · « **Reply #18 on:** July 26, 2010, 03:02:46 pm »

Quote from: mousa on July 25, 2010, 01:06:02 pm

Miscellaneous. 1 E., Q4,5,6,7

1) e) $\frac{ln 2-x}{3-x}$

ln |2-x| - ln |3-x|
dy/dx= 1/2-x d(2-x)dx - 1/3-x d(3-x)/dx
= -1/2-x + 1/3-x

nid404 · « **Reply #19 on:** July 26, 2010, 03:45:13 pm »

5) $\int(2+e^-x) dx$

$2x+e^-x X d(-x)/dx + k$
$2x-e^(-x) + k$

6) y= 2x²-lnx

dy/dx= 4x- 1/x

4x-1/x= 0
4x²=1
x²=0.25
x= 0.5

dy/dx greater than zero...hence minimum

mousa · « **Reply #20 on:** July 27, 2010, 12:01:35 pm »

Thank you Ahana

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Author Topic: Differentiating exponentials and logarithms (Read 3159 times)

nid404

Re: Differentiating exponentials and logarithms

nid404

Re: Differentiating exponentials and logarithms

nid404

Re: Differentiating exponentials and logarithms

nid404

Re: Differentiating exponentials and logarithms

nid404

Re: Differentiating exponentials and logarithms

mousa

Re: Differentiating exponentials and logarithms