Question

Differentiate
f(x) = 30 + 10e^-0.05x

Answer 1

\[ f(x) = 30 + 10e^{-0.05x}\]
where are you having problems?

Answer 2

please help this confuses me i know the answer i just want to know how the answer is found.....

Answer 3

\[ f'(x) = -0.05*10e^{-0.05}\]
i dont know how to expplain though

Answer 4

this question is in my tuttorial question

Answer 5

\[f'(x) = -0.05*10e^{-0.05x}\]

Answer 6

\[f(x)=ax^n\]
differentiating , be reduce the power of x in each term by one, multiplying the term by the old power
\[f'(x)=anx^{n-1}\]

Answer 7

be*we

Answer 8

\[f(x)=g(x)+h(x)\]
\[f'(x)=g'(x)+h'(x)\]

Answer 9

note that the power of x in a constant term is zero

Answer 10

in the the answer here is \[f'(x)=-0.5*e^-0.05x\]

Answer 11

yeah i got that as the answer..

or simply \[\frac{d}{dx} \left(e^{ax+b}\right) = ae^{ax+b}\]

Answer 12

when answering this u have to keep these in mind
1. differential of a constant is zero
d(k)/dx = 0 , where k is a constant

2.\[de^{x}/dx = e^{x}\]
genarally \[de^{ax^{n}}/dx = e^{ax^{n}}dax^{n}/dx\]

Answer 13

thank you guys i see now ... to obtain -0.5 the 10 was multipled by -0.05

Answer 14

this chain rule is not for me hey here is another sum\[f(x)=(x^2+3x+5)e^6x\]

Answer 15

\[f(x)=(x^2+3x+5)e^{6x}\]
\[f'(x)=(x^2+3x+5)'e^{6x}+(x^2+3x+5)(e^{6x})'\]

Answer 16

thank you very much

Answer 17

whats your final answer?

Answer 18

\[f'(x)=(6x^2+20x+33)e^6x\]

Answer 19

man thats hard to do in your head,
yeah correct

Answer 20

well done

Answer 21

that yes....but i was never good in math

Answer 22

well now you are,

Answer 23

how does one know that the chain rule is required to be used to solve for the answer

Answer 24

lol guess so

Answer 25

the chain rule applies when you have to differentiate a function

Answer 26

its more noticable in nested functions tho

Answer 27

\[[f(g(h(x)))]=f'(g(h(x)))*g'(h(x))*h'(x)*x'\]

Answer 28

yes but how does one know when to differentiate an equation using this method when one is given an equation like \[f(x)=x^2 lnx\] what gives you the clue that this equation requires the chain rule

Answer 29

?

Answer 30

the ln is a function

Answer 31

even tho its not a nested function perse. if the argument in it had been more complicated, it would show off better

Answer 32

( )^2 is even a function, but its innards at the moment dont lend if to much showing off

Answer 33

thank you

Answer 34

(x^2+3x)^2, say we rename the innards:

u(x) = x^2+3x

this gives us something we can demonstrate better

(u(x))^2 = 2(u(x)) * u'(x)

is an application of the chain rule

Answer 35

do you do statistics as well?

Answer 36

only 13% of the time to remain relevant :)

Answer 37

that joke is funny to a stat person :/

Answer 38

lol my bad

Answer 39

i remember alot from my elem stats class; but we never really got into poisson and such

Answer 40

i always hated that still do.....can i ask you a few questions?

Answer 41

sure

Answer 42

its either a long question; or your running on internet explorer

Answer 43

my problem is people always just tell us the answers but fail to tell us the explanation...so can you please right the explanation or rather the working out of this sum....

Answer 44

long question lol .....and i am a slow typer lol

Answer 45

i never "just tell the answer"; usually since i dont know the answer till we work it out to the end :)

Answer 46

minoxidil was investigated (as a remedy for male baldness) in a large, 27-centre study where patients were randomly assigned to receive topical minoxidil or an identical-appearing placebo.ignore the centre=to-centre variation,suppose the preliminary results were as follows

Answer 47

looks like its gona be a hypothesis testing

Answer 48

the sample size for the minoxidil group was 310 and the sample size for the placebo was 309

Answer 49

% with new hair growth for the minoxidil was 32 and the placebo was 20

Answer 50

the question is .... CONSTRUCT A 95% CONFIDENCE INTERVAL FOR THE DIFFERENCE IN THE PROPORTIONS OF PATIENTS WITH NEW HAIR GROWTH FOR THE TWO GROUPS USING THE GIVEN DATA

Answer 51

THE OTHER QUESTION IS ............... use the data to test Ho:p1-p2=0 versus H1:p1-p2 is not equal to 0....give the p-value for the test

Answer 52

2 hypothesis testing .... and the first one resembles a difference of the means ....

both are a bit out of my comfort zone, abd i would have to rely on something like stattrek to keep me on track

Answer 53

the formulas are reminescent of single stuff; but just adding the data of the 2 of them in some fashion ....

Answer 54

lol so it is a two tailed test?

Answer 55

pfft, i cant even determine that from the content :)

Answer 56

the difference of proportions i believe is a confidence interval for the difference of the means

Answer 57

wow so how would you go abt answering this question

Answer 58

http://stattrek.com/hypothesis-test/difference-in-proportions.aspx

id direct someone to this for and talk them thru things they might have difficulties with; but the explanations on the site are pretty cogent

Answer 59

i would just divide the confidence level by 2 than find the rejection area buth the statistic test wud jst confuse me

Answer 60

we have a few stats savants about from time to time; zarkon, satellite, and james come to mind. There are others as well, but they tend to shy away for some odd reason

Answer 61

lol ok thank you.......i'l contact them right away

Answer 62

i wish i could have been more help on that one, but we never really got past the confidence intervals of a single proportion :/ good luck with it tho ;)

Answer 63

u can see here
http://www.wolframalpha.com/input/?i=Differentiate+f%28x%29+%3D+30+%2B+10e%5E-0.05x&dataset=