All Questions
6
questions
0
votes
1
answer
69
views
If the third derivative of $\frac{x^4}{(x-1)(x-2)}$ is $\frac{-12k}{(x-2)^4}$ + $\frac{6}{(x-1)^4}$ then the value of k is? [closed]
In the answers I found on google, see this link, they converted the given function into a certain form? What is the process of that conversion (I understand it is a partial fraction of sorts, but how ...
- 21
2
votes
2
answers
120
views
How to decompose $\frac{1+x}{\sqrt{(1-x)}}$ into partial fractions?
Basically homework help. The question (Problems of Calculus in One Variable, IA Maron, number 2.3.9(b)) is to find the derivative of the 100th order of the function
$$
y = \frac{1+x}{\sqrt{(1-x)}}
$$
...
- 93
9
votes
3
answers
278
views
Compute 100th derivative [duplicate]
A friend suggested me a rather tricky problem, namely find the $100^{th}$ derivative of
$$
f(x)=\frac{x^2+1}{x^3-x}.
$$
I have computed the zeroth derivative
$$
\frac{x^2+1}{x^3-x}
$$
and the first ...
- 193
4
votes
0
answers
570
views
Find the derivative of integral $f(x)/(x^2(x-5)^7)$ when $f(x)$ is a quadratic function.
This question is quite tricky. It's for my Calculus 2 assignment and I can't seem to figure out how to integrate this function in order to get its derivative. I tried partial fractions, u-sub with x-5 ...
- 175
0
votes
2
answers
55
views
Unsustainable Populations Differential Equations
I need some help solving this differential equation: $\frac{\text{d}P}{\text{d}t}=kP\left(\frac{A-P}{A}\right)\left(\frac{P-m}{P}\right)$, where $P$ is the population, $t$ is time in years, $A$ is the ...
- 68
2
votes
3
answers
73
views
Calculating the $n^\text{th}$ derivative
How do we calculate the $n^{\text{th}}$ derivative for
$$
\frac{x^3}{(x-a)(x-b)(x-c)}?
$$
How can I obtain the partial fraction for the given term?
- 101