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Find the implicit derivative $\frac{d}{dx}\left(x^2+y^2=16\right)$

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Solution

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Final answer to the problem

$y^{\prime}=\frac{-x}{y}$
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Learn how to solve integrals with radicals problems step by step online. Find the implicit derivative d/dx(x^2+y^2=16). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (16) is equal to zero. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.

Final answer to the problem

$y^{\prime}=\frac{-x}{y}$

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Function Plot

Plotting: $y^{\prime}=\frac{-x}{y}$

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0
a
b
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d
f
g
m
n
u
v
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x
y
z
.
(◻)
+
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×
◻/◻
/
÷
◻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: Integrals with Radicals

Integrals with radicals are those integrals that contain a radical (square root, cubic, etc.) in the numerator or denominator of the integral.

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