Find the derivative $\frac{d}{dx}\left(3x^5-2x^3+4x+5\right)$ using the sum rule

Step-by-step Solution

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Final answer to the problem

$15x^{4}-6x^{2}+4$
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Step-by-step Solution

How should I solve this problem?

  • Find the derivative using the product rule
  • Find the derivative using the definition
  • 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
  • Integrate by parts
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The derivative of a sum of two or more functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(3x^5\right)+\frac{d}{dx}\left(-2x^3\right)+\frac{d}{dx}\left(4x\right)$

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

$\frac{d}{dx}\left(3x^5\right)+\frac{d}{dx}\left(-2x^3\right)+\frac{d}{dx}\left(4x\right)$

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Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(3x^5-2x^34x+5) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=3 and g=x^5. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-2 and g=x^3. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=4 and g=x.

Final answer to the problem

$15x^{4}-6x^{2}+4$

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Plotting: $15x^{4}-6x^{2}+4$

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7
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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

How to improve your answer:

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 (5)

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