Find the break even points of the expression $\frac{\sqrt{1+x}-\left(1+x\right)^{-\frac{1}{2}}}{x^2}$

Step-by-step Solution

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Final answer to the problem

$\frac{1}{\sqrt{1+x}x}$
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Step-by-step Solution

How should I solve this problem?

  • Find break even points
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
  • Load more...
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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{\sqrt{1+x}+\frac{-1}{\sqrt{1+x}}}{x^2}$

Learn how to solve classify algebraic expressions problems step by step online.

$\frac{\sqrt{1+x}+\frac{-1}{\sqrt{1+x}}}{x^2}$

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Learn how to solve classify algebraic expressions problems step by step online. Find the break even points of the expression ((1+x)^(1/2)-(1+x)^(-1/2))/(x^2). Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Combine \sqrt{1+x}+\frac{-1}{\sqrt{1+x}} in a single fraction. Divide fractions \frac{\frac{x}{\sqrt{1+x}}}{x^2} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Simplify the fraction by x.

Final answer to the problem

$\frac{1}{\sqrt{1+x}x}$

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Function Plot

Plotting: $\frac{1}{\sqrt{1+x}x}$

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7
8
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
Dx
|◻|
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:

Main Topic: Classify algebraic expressions

An algebraic expression can be classified as a monomial, binomial, trinomial or polynomial, depending on the number of terms.

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