




Card 20 / 28:
increasing on the interval I
a function increasing on the interval I if for all x 1 , x 2 ∈ I , f ( x 1 ) ≤ f ( x 2 ) if x 1 < x 2

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Questions & Answers
I need help under implicit differentiation
how to understand this
nhie
What is derivative of antilog x dx ?
what's the meaning of removable discontinuity
an area under a curve is continuous because you are looking at an area that covers a range of numbers, it is over an interval, such as 0 to 4
Lauren
using product rule x^3,x^5
Kabiru
please help me to calculus
may god be with you
Sunny
Luke 17:21 nor will they say, See here or See there For indeed, the kingdom of God is within you.
You've never 'touched' anything. The eenergy field created by your body has pushed other electricfields. even our religions tell us we're the gods. We live in energies connecting us all. Doa/higgsfield
Scott
if you have any calculus questions many of us would be happy to help and you can always learn or even invent your own theories and proofs. math is the laws of logic and reality. its rules are permanent and absolute. you can absolutely learn calculus and through it better understand our existence.
Scott
help the integral of x^2/lnxdx
Levis
also find the value of "X" from the equation that follow
(x1/x)^4 +4(x^21/x^2) 6=0
please guy help
Levis
Use integration by parts. Let u=lnx and dv=x2dx Then du=1xdx and v=13x3.
∫x2lnxdx=13x3lnx−∫(13x3⋅1x)dx
∫x2lnxdx=13x3lnx−∫13x2dx
∫x2lnxdx=13x3lnx−19x3+C
Bilal
now you can find the value of X from the above equation easily
Bilal
Pls i need more explanation on this calculus
usman
usman
from where do you need help?
Levis
Do we ask only math question?
or ANY of the question?
How do i differentiate between substitution method, partial fraction and algebraic function in integration?
usman
you just have to recognize the problem. there can be multiple ways to solve 1 problem. that's the hardest part about integration
Lauren
we asking the question cause only the question will tell us the right answer
Sunny
find integral of sin8xcos12xdx
don't share these childish questions
Bilal
well find the integral of x^x
Levis
bilal kumhar you are so biased
if you are an expert what are you doing here lol😎😎😂😂 we are here to learn
and beside there are many questions on this chat which you didn't attempt
we are helping each other stop being naive and arrogance
so give me the integral of x^x
Levis
Bilal
it okay buddy
honestly i am pleasured to meet you
Levis
x^x ... no anti derivative for this function... but we can find definte integral numerically.
Bilal
thank you Bilal Kumhar
then how we may find definite integral let say x^x,3,5?
Levis
evaluate 5×square divided by x+2
find x as limit approaches infinity
i have not understood
Leo
I just dont get it at all...not understanding
Michagaye
The denominator is the aggressive one
Sunny
wouldn't be any prime number for x instead ?
Harold
or should I say any prime number greater then 11 ?
Harold
I think as limit Approach infinity then X=0
Levis
Fond the value of the six trigonometric function of an angle theta, which terminal side passes through the points(2x½y)²,4
are you asking for the derivative
Leo
that's means more power for all points
rd
if your asking for derivative
dy/dz=x^2/2(lnx1/2)
Levis
iam sorry
f(x)=x^x
it means the output(range ) depends to input(domain) value of x by the power of x
that is to say if x=2 then x^x would be 2^2=4
f(x) is the product of X to the power of X
its derivatives is found by using product rule
y=x^x
introduce ln each side we have
lny=lnx^x
=lny=xlnx
Levis
the derivatives of f(x)=x^x
IS (1+lnx)*x^x
Levis
So in that case what will be the answer?
Alice
nice explanation Levis, appreciated..
Thato
A maxima in a curve refers to the maximum point said curve. The maxima is a point where the gradient of the curve is equal to 0 (dy/dx = 0) and its second derivative value is a negative (d²y/dx² = ve).
Viewer
what is the limit of x^2+x when x approaches 0
it is 0 because 0 squared Is 0
Leo
simply put the value of 0 in places of x.....
Tonu
the limit is 2x + 1
Nicholas
Leo we don't just do like that buddy!!!
use first principle
y+∆y=x+∆x
∆y=x+∆xy
∆y=(x+∆x)^2+(x+∆x)x^2+x
on solving it become
∆y=3∆x+∆x^2 as ∆x_>0 limit=3 if you do by calculator say plugging any value of x=0.000005 which approach 0 you get 3
Levis
find derivatives 3√x²+√3x²
How to do basic integrals
the formula is simple
x^n+1/n+1
where n IS NOT EQUAL TO 1
And n stands for power
eg integral of x^2
x^2+1/2+1
=X^3/3
Levis
Source:
OpenStax, Calculus volume 1. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11964/1.2
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