Differentiation

Differentiation

1. Chain Rule

   • Rule for finding the derivative of a composition function by the following rule.
     • (f.g(x))'=g'(x)f'(g(x))

2. Product Rule

   • It is used to find the derivative of the product of two functions, associating each one of them with a variable and solving by the following rule.
     • f(x)= uv'+u'v

3. Quotient Rule

   • Method in which you are able to find the ratio of two differentiable functions.
     • f(x)=(u'v'-uv')/v^2

4. Power Rule

   • It refers to a rule with helps you derivate a variable raised to a power
     • f(x)= x^n =x(n)^n-1

5. Logarithmic and Exponential Functions

   • Process of finding the rate of change of a logarithmic or an exponential function by the following rules
     • f(x)= ln u = u’ /u f(x)= e^u = u’.e^u f(x)= a^u = u’.lna.a^u f(x)= loga ^u = (u’)/lna.u

6. Trigonometric

   • The process of finding the derivative of a trigonometric function
     • f(x)= sinU = u’Cosu f(x)= CosU = -u’Sinu f(x)= Tan U = u’Sec^2u f(x)= Cot U =-u’Csc^2u f(x)= SecU = u’SecuTanu f(x)=CscU = -u’CscuCotu