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Solve the equation $2x=\sqrt[4]{y}$

Step-by-step Solution

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Solution

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Final answer to the problem

$y=16x^4$
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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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Rearrange the equation

Learn how to solve two-variable linear equations problems step by step online.

$\sqrt[4]{y}=2x$

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Unlock the first 3 steps of this solution

Learn how to solve two-variable linear equations problems step by step online. Solve the equation 2x=y^(1/4). Rearrange the equation. Removing the variable's exponent raising both sides of the equation to the power of 4. Cancel exponents \frac{1}{4} and 4. The power of a product is equal to the product of it's factors raised to the same power.

Final answer to the problem

$y=16x^4$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $2x-\sqrt[4]{y}$

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Answer Assistant

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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
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:

Similar Problems Solved

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$4x+2y=10$

Main Topic: Two-variable linear equations

Algebraic equations that have two distinct variables.

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