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# Find the derivative $\frac{d}{dx}\left(x+e^{\left(xy-2\right)}\right)$ using the sum rule

## Step-by-step Solution

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###  Videos

$1+e^{\left(xy-2\right)}y$
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##  Step-by-step Solution 

Problem to solve:

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

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

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

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

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

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(x+e^(xy-2)) 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 linear function is equal to 1. Applying the derivative of the exponential function. The derivative of a sum of two or more functions is the sum of the derivatives of each function.

$1+e^{\left(xy-2\right)}y$

##  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+e^(xy-2)) using the product ruleFind derivative of (x+e^(xy-2)) using the quotient ruleFind derivative of (x+e^(xy-2)) using logarithmic differentiationFind derivative of (x+e^(xy-2)) using the definition

SnapXam A2

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1
2
3
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

### Main topic:

Sum Rule of Differentiation

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