$\frac{d}{dx}\left(\arcsin\left(-4x\right)\right)$

Step-by-step Solution

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Final answer to the problem

$\frac{-4}{\sqrt{1-\left(-4x\right)^2}}$
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Step-by-step Solution

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Apply the formula: $\frac{d}{dx}\left(\arcsin\left(\theta \right)\right)$$=\frac{1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right)$, where $x=-4x$

$\frac{1}{\sqrt{1-\left(-4x\right)^2}}\frac{d}{dx}\left(-4x\right)$

Learn how to solve calcul différentiel problems step by step online.

$\frac{1}{\sqrt{1-\left(-4x\right)^2}}\frac{d}{dx}\left(-4x\right)$

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Learn how to solve calcul différentiel problems step by step online. d/dx(arcsin(-4x)). Apply the formula: \frac{d}{dx}\left(\arcsin\left(\theta \right)\right)=\frac{1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right), where x=-4x. Apply the formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), where n=-4. Apply the formula: \frac{d}{dx}\left(x\right)=1. Apply the formula: a\frac{b}{x}=\frac{ab}{x}.

Final answer to the problem

$\frac{-4}{\sqrt{1-\left(-4x\right)^2}}$

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Function Plot

Plotting: $\frac{-4}{\sqrt{1-\left(-4x\right)^2}}$

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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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