RULES OF DIFFERENTIATION

Mere som dette

THRIFT SHOP finish

af JOSEPHINE SATRIADI JOSEPHINE SATRIADI

Table of Contents

af Vic Fiallo

The Map of Trigonometric Functions

af selina stinson

bios

af ESME GOMEZ

RULES OF DIFFERENTIATION

PECAHAN

6. Product Rule

=u dv/dx + v du/dx

y'=uv'+vu'

If y=h(x)×g(x)

4. Sum Rule

f'(x)=3x^2+3

Example : f(x)=x^3+3x

f'(x)=h'(x)+-g'(x)

If f(x)=h(x)+-g(x)

3. Power Rule

f(x)=8x^3

f'(x)=2(4)x^4-1

f(x)=2x^4

f(x)=15^2

f'(x)=5(3)x^3-1

Example : f(x)=5x^3

y'=f'(x)=nx^n-1

If y=f(x)=x^n

SYED MUHAMMAD ZUBAIR BIN SYED SHAHAZAM (052947) MSD 10503 DII

7. Quotient/ Rational Rule

y'=dy/dx=vu'-uv'/v^2

let h(x)=u, g(x)=v

If y=h(x)/g(x)

5. Chain Rule

f'(x)=n(ax-+b)^n-1(ax-+b)'

If f(x)=(ax-+b)^n

2. Constant-Multiple Rule

f'(x)=-3

f'(x)=5

f'(x)=dy/dx=m

if f(x)=mx

Where m is any constant

1. Constant Function/Rule

if f(x)=-7

f'(x)=0

Example : 1. if f(x)=4

dy/dx=f'(x)=0

if y = f(x)=c

where C is any constant