Derivative of log x | differentiation of log x proof | logx #differentiation #mathematics

Derivative
Logarithm
Natural logarithm
log
⁡
(
𝑥
)
log(x)
ln
⁡
(
𝑥
)
ln(x)
Differentiation
Calculus
Chain rule
Product rule
Quotient rule
Integration
Base
𝑒
e
Base change formula
Exponential function
𝑑
𝑑
𝑥
dx
d
​

1
𝑥
x
1
​

Slope
Tangent
Rate of change
Antiderivative
Logarithmic differentiation
Power rule
Constant multiple rule
Exponent
Algebra
Function
Graph of
log
⁡
(
𝑥
)
log(x)
ln
⁡
′
(
𝑥
)
ln
′
(x)
Logarithmic function
Continuous function
Inverse function
𝑒
𝑥
e
x

Fundamental theorem of calculus
Limit
Asymptote
Concavity
Critical point
Maxima and minima
Implicit differentiation
𝑢
u-substitution
𝑣
v-substitution
Logarithmic properties
Natural log rules
Constant
𝐶
C
Exponential growth
Exponential decay
Logarithmic scale
Integration by parts
Differentiable function
Logarithm base 10