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Find the derivative of $\ln\left(a\sqrt{xa+x}\right)$

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Solution

Formulas

Videos

Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=ay8838UZ4nM

Power Series Representation With Natural Logarithms - Calculus 2

https://www.youtube.com/watch?v=A6JdlY52NFg

Secant line with arbitrary difference | Derivatives introduction | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=RaNeCD8t01I

Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=-ejyeII0i5c

Algebra 2 - Simplifying a rational exponent with a rational base, (4/3)^(-1/2)

https://www.youtube.com/watch?v=8s2xAi_B4uc

Calculus - Find the derivative of natural logarithm using product property, d(ln(2x))/dx

https://www.youtube.com/watch?v=urYZhqwUTI0

Function Plot

Plotting: $\frac{1}{2\left(xa+x\right)}$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
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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

How to improve your answer:

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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.

Used Formulas

See formulas (6)

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