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Find the derivative of $8x\sin\left(x\right)\cos\left(x\right)$

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 Final answer to the problem

$8\sin\left(x\right)\cos\left(x\right)+8x\cos\left(x\right)^2-8x\sin\left(x\right)^2$
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 Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Find the derivative using the definition
• Find the derivative using the product rule
• Find the derivative using the quotient rule
• Find the derivative using logarithmic differentiation
• Find the derivative
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

$8\frac{d}{dx}\left(x\sin\left(x\right)\cos\left(x\right)\right)$

Learn how to solve problems step by step online.

$8\frac{d}{dx}\left(x\sin\left(x\right)\cos\left(x\right)\right)$

Learn how to solve problems step by step online. Find the derivative of 8xsin(x)cos(x). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=\sin\left(x\right)\cos\left(x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sin\left(x\right) and g=\cos\left(x\right). The derivative of the linear function is equal to 1.

 Final answer to the problem

$8\sin\left(x\right)\cos\left(x\right)+8x\cos\left(x\right)^2-8x\sin\left(x\right)^2$

 Explore different ways to solve this problem

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

SnapXam A2

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5
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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