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Find the implicit derivative $\frac{d}{dx}\left(3x-2xy-y=6\right)$

Step-by-step Solution

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Solution

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Final answer to the problem

$3-2y-2xy^{\prime}-y^{\prime}=0$
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Step-by-step Solution

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Learn how to solve sum rule of differentiation problems step by step online. Find the implicit derivative d/dx(3x-2xy-y=6). 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 (6) is equal to zero. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant.

Final answer to the problem

$3-2y-2xy^{\prime}-y^{\prime}=0$

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Plotting: $3-2y-2xy^{\prime}-y^{\prime}=0$

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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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$\frac{d}{dx}\left(x^2+xy-y^2=4\right)$

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$\frac{d}{dx}\left(2x^3+x^2y-xy^3=2\right)$

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$\frac{d}{dx}\left(x^3-xy+y^2=4\right)$

Find the derivative

$\frac{d}{dx}\left(2xy-y^2=1\right)$

Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

Used Formulas

See formulas (5)

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