Derivative of a sum

(f±g)′=f′±g′(f\pm g)'=f'\pm g'

Result unit: — (funkcja)

What it describes

The derivative of a sum (difference) of functions is the sum (difference) of their derivatives.

Symbols

f,gf, g
functions

Where it comes from

You differentiate "term by term" — the derivative of a sum is the sum of the derivatives.

When to use it

Differentiating polynomials and sums of functions.

Example

Find the derivative of x2+3xx^2+3x.
Substitution(x2)′+(3x)′(x^2)'+(3x)'.
Result2x+32x+3.

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