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

Step-by-step Solution

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Final answer to the problem

$y^{\prime}=\cos\left(y\right)^2$
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Step-by-step Solution

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Apply the formula: $\frac{d}{dx}\left(a=b\right)$$=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right)$, where $a=x$ and $b=\tan\left(y\right)$

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

Learn how to solve differenziazione implicita problems step by step online.

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

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Unlock the first 3 steps of this solution

Learn how to solve differenziazione implicita problems step by step online. d/dx(x=tan(y)). Apply the formula: \frac{d}{dx}\left(a=b\right)=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right), where a=x and b=\tan\left(y\right). Apply the formula: \frac{d}{dx}\left(x\right)=1. Apply the trigonometric identity: \frac{d}{dx}\left(\tan\left(\theta \right)\right)=\frac{d}{dx}\left(\theta \right)\sec\left(\theta \right)^2, where x=y. Apply the formula: \frac{d}{dx}\left(x\right)=1, where x=y.

Final answer to the problem

$y^{\prime}=\cos\left(y\right)^2$

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Function Plot

Plotting: $y^{\prime}=\cos\left(y\right)^2$

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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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