ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Find the derivative $\frac{d}{dx}\left(\sin\left(x\right)-\tan\left(x\right)\cos\left(x\right)\right)$ using the sum rule

Go!
Symbolic mode
Text mode
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 to the problem

$\cos\left(x\right)-\sec\left(x\right)+\tan\left(x\right)\sin\left(x\right)$
Got another answer? Verify it here!

##  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
Can't find a method? Tell us so we can add it.
1

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

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

Learn how to solve problems step by step online.

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

Learn how to solve problems step by step online. Find the derivative d/dx(sin(x)-tan(x)cos(x)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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=. Simplify the product -(\frac{d}{dx}\left(\tan\left(x\right)\right)\cos\left(x\right)+\tan\left(x\right)\frac{d}{dx}\left(\cos\left(x\right)\right)).

##  Final answer to the problem

$\cos\left(x\right)-\sec\left(x\right)+\tan\left(x\right)\sin\left(x\right)$

##  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

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