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Find the higher order ($2$) derivative of $x^{33}+\ln\left(x+1\right)$

Step-by-step Solution

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Final Answer

$1056x^{31}+\frac{-1}{\left(x+1\right)^2}$
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Step-by-step Solution

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1

Find the ($1$) derivative

$33x^{32}+\frac{1}{x+1}$
2

Find the ($2$) derivative

$1056x^{31}+\frac{-1}{\left(x+1\right)^2}$

Final Answer

$1056x^{31}+\frac{-1}{\left(x+1\right)^2}$

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

Find the derivativeFind derivative of (x^33+ln(x+1)) using the product ruleFind derivative of (x^33+ln(x+1)) using the quotient ruleFind derivative of (x^33+ln(x+1)) using logarithmic differentiation

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Function Plot

Plotting: $1056x^{31}+\frac{-1}{\left(x+1\right)^2}$

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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
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: 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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