RULES OF DIFFERENTIATION

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EDUC 120 Feb. 12

Ved Jay Roberts

Causes of WWI

Ved Ghirardo Jason

RULES OF DIFFERENTIATION

Ved azim farhan

US ELECTIONS

Ved SABINE ACHOUR

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