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# Find the derivative $\frac{d}{dx}\left(30-6x+2y\left(4x-5\right)\right)$ using the sum rule

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##  Final answer to the problem

$-6+8y$
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##  Step-by-step Solution 

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

$\frac{d}{dx}\left(30\right)+\frac{d}{dx}\left(-6x\right)+\frac{d}{dx}\left(2y\left(4x-5\right)\right)$

Learn how to solve trigonometric integrals problems step by step online.

$\frac{d}{dx}\left(30\right)+\frac{d}{dx}\left(-6x\right)+\frac{d}{dx}\left(2y\left(4x-5\right)\right)$

Learn how to solve trigonometric integrals problems step by step online. Find the derivative d/dx(30-6x2y(4x-5)) 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 (30) is equal to zero. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.

##  Final answer to the problem

$-6+8y$

##  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

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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: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.

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