# The Sum Rule.

**Sum Rule** is one of the Techniques of Differentiation.

The Sum Rule states that:

The Derivative of sum of two Functions is the Sum or Derivatives of the two functions.

Mathematically we can write this as:

If,

Or, function “h” is the sum of functions “f” and “g”

Then ,

Or. “function h” prime or derivative of function “h” is “function f” prime or derivative of “f” added to “g” prime or derivative of “g”.

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**Proof of Sum Rule:**

Let “p” be a fixed point then by definition of derivative:

or,

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**Use of Sum Rule:**

Find The Derivative of:

Solution:

Using Sum Rule,

Using derivative of simple algebraic functions Rule,

so,

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