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Find the derivative of $x^x\sin\left(7x\right)^{\ln\left(x\right)}$

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Solution

Formulas

Videos

Derivative using chain rule inside product rule

https://www.youtube.com/watch?v=7s1PU4M38vw

Learn how to take the derivative by charts with product rule

https://www.youtube.com/watch?v=3M393oP0qpE

Taking the derivative of two binomials using product and chain rule

https://www.youtube.com/watch?v=A6hOwH2dbr0

Use the product rule to take the derivative of an exponential equation

https://www.youtube.com/watch?v=otqQ3gpE6fQ

Implicit differentiation with the chain rule and in

https://www.youtube.com/watch?v=TNy-IxD15f0

Derivative product rule with inverse tangent

https://www.youtube.com/watch?v=Lrvs5Wotrvo

Function Plot

Plotting: $\left(\ln\left(x\right)+1\right)x^x\sin\left(7x\right)^{\ln\left(x\right)}+x^x\left(\frac{\ln\left(\sin\left(7x\right)\right)}{x}+7\ln\left(x\right)\cos\left(7x\right)\csc\left(7x\right)\right)\sin\left(7x\right)^{\ln\left(x\right)}$

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a
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n
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v
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x
y
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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

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

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

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

$\frac{d}{dx}\left(\cos\left(x\right)\right)\cdot \csc\left(x\right)$

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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