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Find the derivative of $\ln\left(\arctan\left(\mathrm{sinh}\left(x\right)\right)\right)$

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Solution

Formulas

Videos

Derivative of log_x (for any positive base a­1) | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=2XB4K6T-yKo

Implicit differentiation with the chain rule and in

https://www.youtube.com/watch?v=TNy-IxD15f0

Implicit Differentiation - Find The First &amp; Second Derivatives

https://www.youtube.com/watch?v=-XQDh6Z6DPI

Basic derivative rules: table | Derivative rules | AP Calculus AB | Khan Academy

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

Learn how to take the derivative using implicit differentiation by taking the ln of both

https://www.youtube.com/watch?v=uuLcvX64U-E

Calculus - Take the derivative using product rule with natural logarithms,, ln(y) = (x^2)ln(x)

https://www.youtube.com/watch?v=4TpfQj_Wj84

Function Plot

Plotting: $\frac{\mathrm{cosh}\left(x\right)}{\left(1+\mathrm{sinh}\left(x\right)^2\right)\arctan\left(\mathrm{sinh}\left(x\right)\right)}$

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a
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x
y
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.
(◻)
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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:

Similar Problems Solved

$\frac{d}{dx}\arcsin\left(\sqrt{x}\right)$

$\frac{d}{dx}\left(\arcsin\left(\sqrt{2x}\right)\right)$

$\frac{d}{dx}\left(\arccot\left(\sqrt{x}\right)\right)$

$\frac{d}{dx}\left(\arcsin\sqrt{x}\right)$

$\frac{d}{dx}\left(\arctan\left(x-\sqrt{1+x^2}\right)\right)$

$\frac{d}{dx}\arccos\left(\sqrt{x}\right)$

$\frac{d}{dx}\left(x^2\arccos\left(x\right)\right)$

Main Topic: Basic Differentiation Rules

Some differentiation rules are very easy to remember and use. These are the basic ones: constant rule, sum rule, product rule and quotient rule.

Used Formulas

See formulas (3)

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