Find the derivative using the product rule $\ln\left(2^x\right)=2^3$

Step-by-step Solution

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acosh
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Final answer to the problem

$\ln\left(2\right)=0$
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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
  • Load more...
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1

Simplifying

$\ln\left(2^x\right)=8$

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

$\ln\left(2^x\right)=8$

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Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule ln(2^x)=2^3. Simplifying. Derive both sides of the equality with respect to x. The derivative of the constant function (8) is equal to zero. The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}.

Final answer to the problem

$\ln\left(2\right)=0$

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Function Plot

Plotting: $\ln\left(2^x\right)- 2^3$

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Go!
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: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

Used Formulas

See formulas (3)

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