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Differential calculus - derivatives |
Table
of derivatives of elementary functions |
Differentiation
rules |
Table of derivatives |
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Table
of derivatives of elementary functions |
Differentiation
rules |
If
u
= f (x) and
v = g (x)
are differentiable functions and c
is a real constant then, |
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Chain
rule
6)
[
f (g (x))]′ = f ′
(g
(x)) ·
g
′ (x) |
Differentiating
inverse function, since
f
[ f -1
(x)] = x
then,
using the chain rule |
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Differentiating
parametric equations,
if x = x
(t)
and
y
= y (t)
then |
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Logarithmic
derivative,
if y
= f
(x)
then,
using the chain rule |
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Table
of derivatives of elementary functions |
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c |
0 |
x |
1 |
xn |
nx
n -
1 |
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Exponential and logarithmic functions |
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Trigonometric functions |
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Inverse
trigonometric functions |
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Hyperbolic
functions |
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Inverse
hyperbolic functions |
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Functions
of (x2
±
a2
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