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Find the derivative $\frac{d}{dx}\left(6x^3-4x^2+9x-1\right)$ using the sum rule

Step-by-step Solution

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Final Answer

$18x^{2}-8x+9$
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Step-by-step Solution

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The derivative of a sum of two or more functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(6x^3\right)+\frac{d}{dx}\left(-4x^2\right)+\frac{d}{dx}\left(9x\right)+\frac{d}{dx}\left(-1\right)$

Learn how to solve sum rule of differentiation problems step by step online.

$\frac{d}{dx}\left(6x^3\right)+\frac{d}{dx}\left(-4x^2\right)+\frac{d}{dx}\left(9x\right)+\frac{d}{dx}\left(-1\right)$

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Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(6x^3-4x^29x+-1) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-1) is equal to zero. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.

Final Answer

$18x^{2}-8x+9$

Explore different ways to solve this problem

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

Find the derivativeFind derivative of (6x^3+-4x^2) using the product ruleFind derivative of (6x^3+-4x^2) using the quotient ruleFind derivative of (6x^3+-4x^2) using logarithmic differentiationFind derivative of (6x^3+-4x^2) using the definition

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1
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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

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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

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