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

Step-by-step Solution

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Final answer to the problem

$y^{\prime}=\frac{\cos\left(xy\right)^2-y}{x}$
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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 $a=\tan\left(xy\right)$ and $b=x$

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

Learn how to solve equations trigonométriques problems step by step online.

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

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Learn how to solve equations trigonométriques problems step by step online. d/dx(tan(xy)=x). Apply the formula: \frac{d}{dx}\left(a=b\right)=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right), where a=\tan\left(xy\right) and b=x. 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=xy. Apply the formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), where d/dx=\frac{d}{dx}, ab=xy, a=x, b=y and d/dx?ab=\frac{d}{dx}\left(xy\right).

Final answer to the problem

$y^{\prime}=\frac{\cos\left(xy\right)^2-y}{x}$

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Function Plot

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

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1
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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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Main Topic: Equations trigonométriques

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