Try now NerdPal! Our new app on iOS and Android

# Find the derivative $\frac{d}{dx}\left(1+7\sin\left(x\right)+\tan\left(x\right)\right)$ using the sum rule

## Step-by-step Solution

Go!
Math 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

###  Videos

$7\cos\left(x\right)+\sec\left(x\right)^2$
Got another answer? Verify it here!

##  Step-by-step Solution 

Problem to solve:

$\frac{d}{dx}\left(1+7\sin\left(x\right)+\tan\left(x\right)\right)$

Specify the solving method

1

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

$\frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(7\sin\left(x\right)\right)+\frac{d}{dx}\left(\tan\left(x\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online.

$\frac{d}{dx}\left(1\right)+\frac{d}{dx}\left(7\sin\left(x\right)\right)+\frac{d}{dx}\left(\tan\left(x\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(1+7sin(x)tan(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 the constant function (1) is equal to zero. The derivative of a function multiplied by a constant (7) is equal to the constant times the derivative of the function. The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}.

$7\cos\left(x\right)+\sec\left(x\right)^2$

##  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

Find the derivativeFind d/dx(1+7sin(x)tan(x)) using the product ruleFind d/dx(1+7sin(x)tan(x)) using the quotient ruleFind d/dx(1+7sin(x)tan(x)) using logarithmic differentiation

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

### Main topic:

Sum Rule of Differentiation

~ 0.04 s

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account