Differentiation

Differentiation also knows as

• Comparison

• Integration

• Derivatives

• Multiplication

All given are first order differentiation notation except

• 
• y’

• f’(x)

• 

Find dy/dx of y = 5x

• 5

• 5x

• -5

• 1/5

Find dy/dx for y= cos 4x

• dy/dx = -4 sin 4x

• dy/dx=sin 4x

• dy/dx = - 4 cos 4x

• dy/dx = 4 sin 4x

Find dy/dx of y= ln (6x+1)

• dy/dx=ln 6x

• dy/dx =1/x

• dy/dx = 1/6x

• dy/dx=6

Find dy/dx of y= 80-2/3

• 80

• 0

• -2/3

• 238/3

Given are rules of differentiation except

• Quotient Rules

• Chain Rules

• Break Rules

• Product Rules

Given y=2x sin 6x,find dy/dx

• dy/dx=2x cos 6x

• dy/dx=2x cos 6x + 2 sin 6x

• dy/dx=12x cos 6x + 2 sin 6x

• dy/dx=36x cos 6x

Find second order differentiation for y= 7x-1

• 0

• 7

• 1

• 7x

Find dy/dx for y =e^6x

• dy/dx=e^6x

• dy/dx=6e^6x

• dy/dx = 36e^6x

• dy/dx=6e^6x-1