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Find the derivative of $\arcsin\left(5x\right)$

Step-by-step Solution

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Final Answer

$\frac{5}{\sqrt{1-25x^2}}$
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Step-by-step Solution

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Taking the derivative of arcsine

$\frac{1}{\sqrt{1-\left(5x\right)^2}}\frac{d}{dx}\left(5x\right)$

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$\frac{1}{\sqrt{1-\left(5x\right)^2}}\frac{d}{dx}\left(5x\right)$

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Learn how to solve problems step by step online. Find the derivative of arcsin(5x). Taking the derivative of arcsine. The power of a product is equal to the product of it's factors raised to the same power. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.

Final Answer

$\frac{5}{\sqrt{1-25x^2}}$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Find the derivativeFind derivative of arcsin5x using the product ruleFind derivative of arcsin5x using the quotient ruleFind derivative of arcsin5x using logarithmic differentiationFind derivative of arcsin5x using the definition

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Function Plot

Plotting: $\frac{5}{\sqrt{1-25x^2}}$

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1
2
3
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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