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Find the derivative of $\mathrm{cosh}\left(3x\right)^2$

Step-by-step Solution

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Solution

Formulas

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Final answer to the problem

$6\mathrm{cosh}\left(3x\right)\mathrm{sinh}\left(3x\right)$
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Step-by-step Solution

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Learn how to solve power rule for derivatives problems step by step online. Find the derivative of cosh(3x)^2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Any expression to the power of 1 is equal to that same expression. Taking the derivative of hyperbolic cosine. The derivative of the linear function times a constant, is equal to the constant.

Final answer to the problem

$6\mathrm{cosh}\left(3x\right)\mathrm{sinh}\left(3x\right)$

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Function Plot

Plotting: $6\mathrm{cosh}\left(3x\right)\mathrm{sinh}\left(3x\right)$

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a
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n
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x
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.
(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

How to improve your answer:

Similar Problems Solved

$\frac{d}{dx}\left(\cosh^2\left(3x\right)\right)$

$\frac{d}{dx}\left(\sinh\left(\sqrt{x}\right)\right)$

$\frac{d}{dx}\left(\cosh\left(x^5\right)\right)$

$\frac{d}{dx}\left(\sinh^2\left(7x\right)\right)$

$\frac{d}{dx}\left(2x^3\tanh\left(\frac{1}{x^2}\right)\right)$

$\frac{d}{dx}\left(\arcsin\left(4x^2\right)\right)$

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

Main Topic: Power Rule for Derivatives

The power rule is used to differentiate functions of the form f(x)=x^a, when a is a real number.

Used Formulas

See formulas (3)

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