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Simplify $\frac{\frac{\frac{\left(2-\frac{1}{5}\right)^2}{\left(3-\frac{2}{9}\right)^{-1}}}{\left(\frac{6}{7}\cdot \frac{5}{4}+\frac{\frac{-\frac{2}{7}}{1}}{2}\right)^3}}{\frac{1}{2}+\frac{\frac{-\frac{1}{3}\cdot \frac{1}{4}}{1}}{5}}-5\cdot \left(\frac{1}{7}\right)$

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Solution

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Final answer to the problem

$\frac{10053755}{445991}$
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Step-by-step Solution

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1

Simplify the addition $3-\frac{2}{9}$

Learn how to solve implicit differentiation problems step by step online.

$\frac{\frac{\frac{\left(2-\frac{1}{5}\right)^2}{\left(\frac{25}{9}\right)^{-1}}}{\left(\frac{6}{7}\cdot \frac{5}{4}+\frac{\frac{-\frac{2}{7}}{1}}{2}\right)^3}}{\frac{1}{2}+\frac{\frac{-\frac{1}{3}\cdot \frac{1}{4}}{1}}{5}}-5\cdot \left(\frac{1}{7}\right)$

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Unlock the first 3 steps of this solution

Learn how to solve implicit differentiation problems step by step online. Simplify ((((2-1/5)^2)/((3-2/9)^(-1)))/((6/75/4+((-2/7)/1)/2)^3))/(1/2+((-1/31/4)/1)/5)-51/7. Simplify the addition 3-\frac{2}{9}. Simplify the addition 2-\frac{1}{5}. Multiply the fraction and term in -5\cdot \left(\frac{1}{7}\right). Any expression divided by one (1) is equal to that same expression.

Final answer to the problem

$\frac{10053755}{445991}$

Exact Numeric Answer

$22.542506$

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Function Plot

Plotting: $\frac{10053755}{445991}$

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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

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Main Topic: Implicit Differentiation

Implicit differentiation makes use of the chain rule to differentiate implicitly defined functions. For differentiating an implicit function y(x), defined by an equation R(x, y) = 0, it is not generally possible to solve it explicitly for y(x) and then differentiate. Instead, one can differentiate R(x, y) with respect to x and y and then solve a linear equation in dy/dx for getting explicitly the derivative in terms of x and y.

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