RULE OF DIFFERENTIATION

Plus de détails

The Map of Trigonometric Functions

par selina stinson

Austria

par Субботина Виктория Юрьевна

Trig Formulas

par val Ortega

Causes of WWI

par Ghirardo Jason

ASSIGNMENT 2 - PRE FINAL BUSINESS MATHEMATICS II NAME : WAFIQAH BINTI WAHAB NO. MATRIC : 052870 PROGRAMME : DIPLOMA IN BANKING LECTURE NAME : MADAM HARDAYANNA ABD RAHMAN DUE DATE : THURSDAY, 9 JULY 2020

RULE OF DIFFERENTIATION

Main topic

RULE 5 : CHAIN RULE

= 15 (3x - 3)4

= 5 (3x - 3)4 (3)

Solution : f' (x) = 5 (3x-3)4 (3x-3)1

Example : f (x) = (3x - 3)5

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

f (x) = (ax + b)n

RULE 6 : PRODUCT RULE

= -24x2 + 20x + 12

= -16x2 + 20x - 8x2 + 12

f' (x) = (4x - 5)(-4x) + (-2x2 + 3)(4)

v' = -4x

v = -2x2 + 3

u' = 4

Solution : u = 4x - 5

Example : (4x - 5) (-2x2 + 3)

f' (x) = uv' + vu'

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

f (x) = h(x)g(x)

RULE 7 : QUOTIENT RULE

= 3 / (2x +1)2

= 6x + 3 - 6x / (2x + 1)2

f' (x) = (2x + 1)3 - 3x(2) / (2x + 1)2

v' = 2

v = 2x + 1

u' = 3

Solution : u = 3x

Example : 3x / 2x + 1

f'(x) = vu' - uv' / v2

h(x) = u, g(x)

f (x) = h(x) / g(x)

RULE 4 : SUM RULE

Solution : f' (x) = 4x3 + 4

Example : f (x) = x4 + 4x

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

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

RULE 3 : POWER RULE

Solution : 9x8

Example : x9

f' (x) = nxn-1

f (x) = xn

Solution : f' (x) = 8

Example : f (x) = 8x

f' (x) = m

f (x) = mx

RULE 1 : CONSTANT RULE

Solution : f' (x) = 0

Example : f (x) = 13

f' (x) = 0

y = f (x) = c