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Question

What is the sum rule for derivatives?


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Solution

Write sum rule for derivative.

According to the sum rule of derivatives: The derivative of a sum of two or more functions is equal to the sum of their individual derivatives.

Suppose fx,gx,andhx are the functions.

So, in the symbol, the sum is fx=gx+hx.

Thus, the sum rule of the derivative is defined as f'x=g'x+h'x, where f'x,g'x,andh'x is the derivative of fx,gx,andhx.

The sum rule for the derivative is f'x=g'x+h'x.


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