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Find the derivative $\frac{d}{dx}\left(e^x+3x^4-12x\right)$ using the sum rule

Step-by-step Solution

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Solution

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Final answer to the problem

$e^x+12x^{3}-12$
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Step-by-step Solution

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Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(e^x+3x^4-12x) 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 linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.

Final answer to the problem

$e^x+12x^{3}-12$

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Plotting: $e^x+12x^{3}-12$

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0
a
b
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d
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m
n
u
v
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x
y
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.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

How to improve your answer:

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$\frac{d}{dx}\left(x\sqrt{x^2+1}\right)$

Find the derivative

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$\frac{d}{dx}\left(\arctan\left(x-\sqrt{1+x^2}\right)\right)$

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.

Used Formulas

See formulas (4)

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