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Find the derivative of $\ln\left(x\right)$ using the definition

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 Solution

 Formulas

 Videos

Calculus - Find the derivative of natural logarithm using product property, d(ln(2x))/dx

https://www.youtube.com/watch?v=urYZhqwUTI0

Calculus - Take the derivative using product rule with natural logarithms,, ln(y) = (x^2)ln(x)

https://www.youtube.com/watch?v=4TpfQj_Wj84

Derivative of log_x (for any positive base aÃÂ1) | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=2XB4K6T-yKo

Implicit differentiation without using the properties of logarithms

https://www.youtube.com/watch?v=hb4U0E4wG_Q

Pre-Calculus - Condensing a logarithmic expression to one logarithm 2[3lnx - ln(x+1)-ln(x-1)]

https://www.youtube.com/watch?v=HS0--oEAT4I

Calculus - Using power rule with square root to take derivative on a logarithm, d(ln(sqrt(x+1)))/dx

https://www.youtube.com/watch?v=vbgVpjL8ucU

 Function Plot

Plotting: $\frac{1}{x}$

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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:

 Main Topic: Properties of Logarithms

They are properties that can help us simplify expressions with logarithms.

 Used Formulas

See formulas (1)

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