RULES OF DIFFERENTIATION

Honelako gehiago

RULES OF DIFFERENTIATION

by azim farhan

Long Division

by Drew Lodermeier

APPLIED SOCIOLINGUISTICS

by Luis Villalobos

Exponents

by Jawdat Laveeza

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