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Find the higher order ($3$) derivative of $\left(3x+5\right)^5$

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Solution

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Final answer to the problem

$1620\left(3x+5\right)^{2}$
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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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1

Find the ($1$) derivative

Learn how to solve differential calculus problems step by step online.

$15\left(3x+5\right)^{4}$

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Unlock the first 3 steps of this solution

Learn how to solve differential calculus problems step by step online. Find the higher order (3) derivative of (3x+5)^5. Find the (1) derivative. Find the (2) derivative. Find the (3) derivative.

Final answer to the problem

$1620\left(3x+5\right)^{2}$

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Function Plot

Plotting: $1620\left(3x+5\right)^{2}$

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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
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:

Similar Problems Solved

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$\frac{d^3}{dx^3}\left(x\cdot\cos\left(x\right)\right)$

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$\frac{d^2}{dx^2}\left(\left(1-x^2\right)\cdot\cos\left(x\right)\right)$

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$\frac{d^{\left(4\right)}}{dx^{\left(4\right)}}\left(x^4\cdot\ln\left(x\right)\right)$

Find the derivative

$\frac{d^{\left(7\right)}}{dx^{\left(7\right)}}\left(x^6\cdot\ln\left(x\right)\right)$

Find the derivative

$\frac{d^2}{dx^2}\left(\cos^2\left(x\right)\right)$

Find the derivative

$\frac{d^2}{dx^2}\left(sen\left(x\right)\right)$

Find the derivative

$\frac{d^2}{dx^2}\left(x^3\right)$

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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