Qualification > Revison Notes
Differentiating exponentials and logarithms
nid404:
One of our members asked for help, so I thought of posting it up for the others to benefit as well :)
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If
same goes for derivative of ln x
exponentials
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= ---> in this case is unit
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since
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Same goes for derivative of ln x
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lol...that sure took looong to type....I will solve some sample problems from my textbook--Pure mathematics 2&3 Hugh Neill and Douglas Quadling...in a while ;)
nid404:
Ex 4 A of the textbook
Differentiate
I'm writing the numbers as per the textbook so the ones who use it find it easier to look for.
1)
a) e3x
= e3x
=e3xX3= 3e3x
h) 3e. e2+4x
=3e3+4x
= 3e3+4x
= 3e3+4xX 4
= 12e3+4x
nid404:
4)
c) y= e^
y= e^ X
y= e^ X 0.5 (1-x2)-1/2 X 2x
y= e^ - x (1-x2)-1/2
Saladin:
+ REP. Good job.
nid404:
hey thanks
Exercise 4 B
1)
j) dy/dx ln(x(x+1))
dy/dx ln (x2+x)
1/(x2+x) X d (x2+x)/dx
(2x+1)/ (x2+x)
4) b)
y= 0.5 ln (2+ x4)
= 1/2 X 1/(2+ x4) X d(2+ x4)/dx
=1/2 X 1/(2+ x4) X 4x3
= 4x3/ 4+2x4
=2x3/2+x4
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