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Find the implicit derivative $\frac{d}{dx}\left(y-5x=12x^2\right)$

Step-by-step Solution

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Solution

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Final answer to the problem

$y^{\prime}=24x+5$
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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(y-5x=12x^2). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the 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}. Multiply 12 times 2.

Final answer to the problem

$y^{\prime}=24x+5$

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Function Plot

Plotting: $y^{\prime}=24x+5$

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0
a
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c
d
f
g
m
n
u
v
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x
y
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.
(◻)
+
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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: 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 (4)

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