Differentiation by First Principle made easy(Calculus), Cheat Sheet of Mathematics

This is a step by step procedure to differentiating a function using the first principle.

Typology: Cheat Sheet

2025/2026

Available from 05/31/2026

kingsley-davidson
kingsley-davidson 🇳🇬

2 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Suhject:
Mathenabs
ToPlc:
ALCuLus
Diferentiatien
by
fist
Prheiple
Let's
say
we
have
a
funion
f()
J
law for
any
change
ih
a,
Ax
there
would
be
a
Chcnge
ih
y,
sy
So
Therefore,
,
ya'
(to
Keep
it
Snple)
we
put
hem
under
the
Sane
bracketbecause
we
ae
ooxihq
at
q
Changqe
h
xnot
q
Chahge
th
tat
-
()
a
hange
sh
Meaus
Rrpandihg
brackets
Cta)(t&z)»xATtA
HA
Ay
be
carepel
not
to_put
2
in
fost
eE
AZ
as
t
mght
Sabtrachnq
y
fon
both
sides
Ay
oresponin
bob,
sides
by
We
Can
seperae
the
tracben
nee
Jhto
smaller
anes
because
they
have
the
SaMe
denouinctar/CM
2X
+0y
n
the
Dunerator)+

Partial preview of the text

Download Differentiation by First Principle made easy(Calculus) and more Cheat Sheet Mathematics in PDF only on Docsity!

Suhject: Mathenabs

ToPlc: ALCuLus

Diferentiatien by fist^

Prheiple

Let's say we have a funion

f() J

law for^ any^ change^

ih a,^ Ax^ there^ would^

be a

Chcnge ih y, sy

So Therefore,

, ya'^ (to^ Keep^ it^ Snple)

we put^ hem^ under^ the^ Sane^

bracketbecause we^

ae

ooxihq at^ q^ Changqe^ h^ xnot^

q Chahge^ th^ tat^

() a^ hange^ sh^ Meaus

Rrpandihg brackets^ Cta)(t&z)»xATtA^

HA

Ay

be carepel^ not^ to_put^2 in^

fost eE^ AZ^ as^ t^ mght

Sabtrachnq y^ fon^

both sides

Ay

oresponin

bob,sides by

We Can^ seperae^ the^ tracben^ nee^ Jhto^ smaller anes

because they have the SaMe denouinctar/CM

2X +0y n the Dunerator)+