RULES OF DIFFERENTIATION

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RULES OF DIFFERENTIATION

por azim farhan

LEARDERSHIP

por NUR SYAZWANI IZZATI BINTI WAN GHAZALI

APPLIED SOCIOLINGUISTICS

por Luis Villalobos

THRIFT SHOP finish

por JOSEPHINE SATRIADI JOSEPHINE SATRIADI

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