Calculus Solutions, Important Examples, Formulas and Videos
Theorem
 Derivative of sum of two functions is sum of the derivatives of the function.
 Derivative of difference of two functions is difference of the derivatives of the function.
 Derivative of product of two functions is given by the following product rule.
.  Derivatives of quotient of two function is given by the following rules (whenever the dimension is non zero )
Derivatives of for any positive integer n . By definition we have
Derivatives of polynomial trigonometric functions : We start with the following theorem which tells us the derivative of a polynomial function .
Example: Let We use the quotient rule on this function whereve.
Points to be Remember:
 The expected value of the function as dictated by the points to the left of a point defines the left hand limit of the function at that point. Similarly the right hand limit .
 Limit of a function at a point is the common value of the left and right hand limit if they coincide.
 For a function f and a real number a , and f(a) may not be same (in fact , one may be define and not other one )
 For function f and g the following hold:
 Following are some of the standard limit
 The derivative of a function f at a is defined by
by  Derivative of a function f at any point x is defined by
 For functions u and v the following holds
provided all are defined .  Following are the some of the standard derivatives .
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