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

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##  Final answer to the problem

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

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

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 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)}.

##  Final answer to the problem

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

##  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

SnapXam A2

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a
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x
y
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(◻)
+
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◻/◻
/
÷
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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

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.