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Find the derivative $\frac{d}{dx}\left(x-2\sin\left(x\right)+1-2\cos\left(x\right)\right)$ using the sum rule

Step-by-step Solution

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Final Answer

$1-2\cos\left(x\right)+2\sin\left(x\right)$
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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

$\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(-2\sin\left(x\right)\right)+\frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(-2\cos\left(x\right)\right)$

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

$\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(-2\sin\left(x\right)\right)+\frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(-2\cos\left(x\right)\right)$

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Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(x-2sin(x)+1-2cos(x)) 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 is equal to 1. The derivative of a function multiplied by a constant (-2) is equal to the constant times the derivative of the function.

Final Answer

$1-2\cos\left(x\right)+2\sin\left(x\right)$

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 (x+-2sinx) using the product ruleFind derivative of (x+-2sinx) using the quotient ruleFind derivative of (x+-2sinx) using logarithmic differentiation

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Function Plot

Plotting: $1-2\cos\left(x\right)+2\sin\left(x\right)$

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7
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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
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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