Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

\frac{d}{dx}\left(\sin\left(x\right)\cdot \ln\left(x\right)-\cos\left(x\right) x^2\right)

Find the derivative of sin(x)ln(x)cos(x)x^2*-1

Answer

$-2x\cos\left(x\right)+x^2\sin\left(x\right)+\frac{\sin\left(x\right)}{x}+\ln\left(x\right)\cos\left(x\right)$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(\sin\left(x\right)\cdot \ln\left(x\right)-\cos\left(x\right) x^2\right)$
1

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(-x^2\cos\left(x\right)\right)+\frac{d}{dx}\left(\ln\left(x\right)\sin\left(x\right)\right)$

Unlock this step-by-step solution!

Answer

$-2x\cos\left(x\right)+x^2\sin\left(x\right)+\frac{\sin\left(x\right)}{x}+\ln\left(x\right)\cos\left(x\right)$
$\frac{d}{dx}\left(\sin\left(x\right)\cdot \ln\left(x\right)-\cos\left(x\right) x^2\right)$

Main topic:

Differential calculus

Used formulas:

6. See formulas

Time to solve it:

~ 0.32 seconds