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Integrate the function $e^{2x}$ from 0 to $1$

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asin
acos
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acot
asec
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sinh
cosh
tanh
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sech
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asinh
acosh
atanh
acoth
asech
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Solution

Videos

Calculus - Learn how to take derivative using quotient rule by simplifying first, f(x)=x(1- 4/(x+3))

https://www.youtube.com/watch?v=Mqjiw5Ax_4w

Calculus - Use quotient rule to take derivative with trigonometric functions, y=(1-cosx)/sinx

https://www.youtube.com/watch?v=BAa7KHPk7bA

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

Implicit Differentiation Explained - Product Rule, Quotient &amp; Chain Rule - Calculus

https://www.youtube.com/watch?v=LGY-DjFsALc

Worked example: Quotient rule with table | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=ZAElYVh5DXU

Calculus - Evaluating a limit by rationalizing the radical, lim(x tends to 0) (sqrt(x + 1) - 1)/x

https://www.youtube.com/watch?v=v8dIvXm03dw

Function Plot

Plotting: $e^{2x}$

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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
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:

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Find the derivative

$\frac{d}{dx}\left(\frac{-x}{y}\right)$

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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