$\frac{d}{dx}\left(\ln\left(\tan\left(x\right)\right)\right)$

Step-by-step Solution

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Final answer to the problem

$\sec\left(x\right)\csc\left(x\right)$
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Step-by-step Solution

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Apply the formula: $\frac{d}{dx}\left(\ln\left(x\right)\right)$$=\frac{1}{x}\frac{d}{dx}\left(x\right)$

$\frac{1}{\tan\left(x\right)}\frac{d}{dx}\left(\tan\left(x\right)\right)$

Apprenez en ligne à résoudre des problèmes calcul différentiel étape par étape.

$\frac{1}{\tan\left(x\right)}\frac{d}{dx}\left(\tan\left(x\right)\right)$

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Apprenez en ligne à résoudre des problèmes calcul différentiel étape par étape. d/dx(ln(tan(x))). Apply the formula: \frac{d}{dx}\left(\ln\left(x\right)\right)=\frac{1}{x}\frac{d}{dx}\left(x\right). Apply the trigonometric identity: \frac{d}{dx}\left(\tan\left(\theta \right)\right)=\frac{d}{dx}\left(\theta \right)\sec\left(\theta \right)^2. Apply the formula: \frac{d}{dx}\left(x\right)=1. Apply the formula: a\frac{b}{x}=\frac{ab}{x}, where a=\sec\left(x\right)^2, b=1 and x=\tan\left(x\right).

Final answer to the problem

$\sec\left(x\right)\csc\left(x\right)$

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Function Plot

Plotting: $\sec\left(x\right)\csc\left(x\right)$

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1
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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

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