Try NerdPal! Our new app on iOS and Android

Find the derivative of $x\cdot xy$

Step-by-step Solution

Go!
Go!
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

Final Answer

$2yx$
Got another answer? Verify it here!

Step-by-step Solution

Problem to solve:

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

Specify the solving method

1

Simplifying

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

The derivative of a function multiplied by a constant ($y$) is equal to the constant times the derivative of the function

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

Learn how to solve differential calculus problems step by step online.

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

Unlock this complete solution and much more!

As low as $3.97 USD / week. Cancel anytime.

Learn how to solve differential calculus problems step by step online. Find the derivative of xxy. Simplifying. The derivative of a function multiplied by a constant (y) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.

Final Answer

$2yx$

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

Find the derivativeFind d/dx(xxy) using the product ruleFind d/dx(xxy) using the quotient ruleFind d/dx(xxy) using logarithmic differentiationFind d/dx(xxy) using the definition
SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
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

How to improve your answer:

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

Main topic:

Differential Calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.02 s