deriv: w1

• Differentiation


  The procedure of study of change in calculus
• y'


  Denoted for final answer in finding derivatives
• Differentiation


  • It is a procedure
  • It is the study of change in calculus
• Derivative


  • It is an operator
  • It is a general symbol for change/derivatives/differentiation
• Differentiation Rules

  1. Constant Rule

  2. Power Rule

  3. Constant Multiple Rule

  4. Sum and Difference Rule

  5. Product Rule

  6. Quotient Rule
• Constant Rule


  The derivative of any constant is zero
• Power Rule


  For all values of n, we can find the derivative of any expression in form x^n
• Any number of variable raised to zero is equal to one except for the base zero
• Constant Multiple Rule


  We can find the derivative of a constant multiple of a function
• Sum and Difference Rule


  For all functions f(x) and g(x), we can find the derivative of their sum/difference
• Product Rule


  For all functions f(x) and g(x), we can find the derivative of their product
• Quotient Rule


  For all functions f(x) and g(x), we can find the derivative of their quotient
• Constant Rule


  d/dx [c] = 0
• Power Rule


  d/dx [x^n] = n x x^n-1
• Constant Multiple Rule


  d/dx [c f(x)] = c[f'(x)]
• Sum and Difference Rule


  d/dx [f(x) + g(x)] = f'(x) + g'(x)
• Product Rule


  d/dx [f(x) x g(x)] = f(x)g'(x) + f'(x)g(x)
• Quotient Rule


  d/dx [f(x)/g(x)] = g(x)f'(x) - f(x)g'(x) / g(x)^2