RULES OF DIFFERENTIATION

Mer av detta

Roman solutions for government corruption

av megha mokkapati

Macbeth vs Revolución Libertadora

av Meherzeen Daruwala

THRIFT SHOP finish

av JOSEPHINE SATRIADI JOSEPHINE SATRIADI

RULES OF DIFFERENTIATION

av azim farhan

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