Question

What is the sum rule for derivatives?

Answer 1

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 $f\left(x\right),g\left(x\right),\mathrm{and}h\left(x\right)$ are the functions.

So, in the symbol, the sum is $f\left(x\right)=g\left(x\right)+h\left(x\right)$.

Thus, the sum rule of the derivative is defined as $f\text{'}\left(x\right)=g\text{'}\left(x\right)+h\text{'}\left(x\right)$, where $f\text{'}\left(x\right),g\text{'}\left(x\right),\mathrm{and}h\text{'}\left(x\right)$ is the derivative of $f\left(x\right),g\left(x\right),\mathrm{and}h\left(x\right)$.

The sum rule for the derivative is $f\text{'}\left(x\right)=g\text{'}\left(x\right)+h\text{'}\left(x\right)$.