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Find the break even points of the expression $\frac{5x-x^2}{xe^x-3\log \left(x\right)}$

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Solution

Formulas

Videos

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

How to take the derivative using chain rule with natural log and cosine

https://www.youtube.com/watch?v=bbK7KtEeULo

How to find the derivative with exponential functions base 5

https://www.youtube.com/watch?v=yPAaO-FKSVQ

Use the product rule to take the derivative of an exponential equation

https://www.youtube.com/watch?v=otqQ3gpE6fQ

Taking the derivative of natural log with chain rule

https://www.youtube.com/watch?v=XIEP9OERosM

Applying the chain rule with natural logarithms

https://www.youtube.com/watch?v=RwF_2fc4rEA

Function Plot

Plotting: $\frac{x\left(5-x\right)}{xe^x-3\log \left(x\right)}$

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7
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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

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Main Topic: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

Used Formulas

See formulas (1)

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