Solve the equation with radicals $2x^2y^{11}+3xy^1-y=0$

Step-by-step Solution

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Final answer to the problem

$y=0,\:y=\frac{\sqrt[10]{-3x+1}}{\sqrt[10]{2}\sqrt[5]{x}},\:y=\frac{-\sqrt[10]{-3x+1}}{\sqrt[10]{2}\sqrt[5]{x}}$
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Step-by-step Solution

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  • Solve for x
  • Solve for y
  • Find the derivative
  • Solve by implicit differentiation
  • Solve for y'
  • Find dy/dx
  • Derivative
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
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1

Any expression to the power of $1$ is equal to that same expression

$2x^2y^{11}+3xy-y=0$

Learn how to solve definition of derivative problems step by step online.

$2x^2y^{11}+3xy-y=0$

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Learn how to solve definition of derivative problems step by step online. Solve the equation with radicals 2x^2y^11+3xy^1-y=0. Any expression to the power of 1 is equal to that same expression. Factor the polynomial 2x^2y^{11}+3xy-y by it's greatest common factor (GCF): y. Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations. Solve the equation (1).

Final answer to the problem

$y=0,\:y=\frac{\sqrt[10]{-3x+1}}{\sqrt[10]{2}\sqrt[5]{x}},\:y=\frac{-\sqrt[10]{-3x+1}}{\sqrt[10]{2}\sqrt[5]{x}}$

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Function Plot

Plotting: $2x^2y^{11}+3xy^1-y$

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1
2
3
4
5
6
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: Definition of Derivative

Resolution of derivatives using the definition of the derivative, which is the limit of difference quotients of real numbers.

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