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Find the derivative of $x^x\sin\left(3x\right)^{9x}$

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Solution

Formulas

Videos

Implicit Differentiation - Find The First &amp; Second Derivatives

https://www.youtube.com/watch?v=-XQDh6Z6DPI

Calculus - How to use implicit differentiation with the square root for chain and product rule

https://www.youtube.com/watch?v=hQYG9yPrLco

Derivatives of Composite Functions - Chain Rule, Product & Quotient Rule - Calculus Review

https://www.youtube.com/watch?v=vNXjMTv4vHs

Calculus - How to use the product rule then chain rule with secant, y = 5x^2 sec(3x)

https://www.youtube.com/watch?v=pWCM68zbW6s

Learn how to use the product rule to find the derivative

https://www.youtube.com/watch?v=6CnOz7GefTg

Finding The Tangent Line Equation With Derivatives - Calculus Problems

https://www.youtube.com/watch?v=5-TKfOzwu9w

Function Plot

Plotting: $\left(\ln\left(x\right)+1\right)x^x\sin\left(3x\right)^{9x}+x^x9\left(\ln\left(\sin\left(3x\right)\right)+3x\cos\left(3x\right)\csc\left(3x\right)\right)\sin\left(3x\right)^{9x}$

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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

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

Main Topic: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

Used Formulas

See formulas (1)

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