Ang Patakarang adisyon at subtraksiyon(Addition and Subtraction Rules) ay isang paraan upang mahanap ang deribatibo ng isang punsiyon.
Mula sa depinisyon ng deribatibo:
lim Δ x → 0 [ [ f ( x + Δ x ) ± g ( x + Δ x ) ] − [ f ( x ) ± g ( x ) ] Δ x ] {\displaystyle \lim _{\Delta x\to 0}\left[{\frac {[f(x+\Delta x)\pm g(x+\Delta x)]-[f(x)\pm g(x)]}{\Delta x}}\right]}
= lim Δ x → 0 [ [ f ( x + Δ x ) − f ( x ) ] ± [ g ( x + Δ x ) − g ( x ) ] Δ x ] {\displaystyle =\lim _{\Delta x\to 0}\left[{\frac {[f(x+\Delta x)-f(x)]\pm [g(x+\Delta x)-g(x)]}{\Delta x}}\right]}
= lim Δ x → 0 [ [ f ( x + Δ x ) − f ( x ) ] Δ x ] ± lim Δ x → 0 [ [ g ( x + Δ x ) − g ( x ) ] Δ x ] {\displaystyle =\lim _{\Delta x\to 0}\left[{\frac {[f(x+\Delta x)-f(x)]}{\Delta x}}\right]\pm \lim _{\Delta x\to 0}\left[{\frac {[g(x+\Delta x)-g(x)]}{\Delta x}}\right]}
Sa pamamagitan ng kahulugan, ang huling termino ay d d x [ f ( x ) ] ± d d x [ g ( x ) ] {\displaystyle {\frac {d}{dx}}\left[f(x)\right]\pm {\frac {d}{dx}}\left[g(x)\right]}
Ang lathalaing ito na tungkol sa Matematika ay isang usbong. Makatutulong ka sa Wikipedia sa pagpapalawig nito.
![{\displaystyle {\frac {d}{dx}}\left[f(x)\pm g(x)\right]={\frac {d}{dx}}\left[f(x)\right]\pm {\frac {d}{dx}}\left[g(x)\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/890764789354e817b69850d04926e1a6773313e1)
![{\displaystyle \lim _{\Delta x\to 0}\left[{\frac {[f(x+\Delta x)\pm g(x+\Delta x)]-[f(x)\pm g(x)]}{\Delta x}}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8abbd64362c04e963faff33257cd486b5ecc577b)
![{\displaystyle =\lim _{\Delta x\to 0}\left[{\frac {[f(x+\Delta x)-f(x)]\pm [g(x+\Delta x)-g(x)]}{\Delta x}}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/657cfd0a469554101938c71941b8ac6ea61639c7)
![{\displaystyle =\lim _{\Delta x\to 0}\left[{\frac {[f(x+\Delta x)-f(x)]}{\Delta x}}\right]\pm \lim _{\Delta x\to 0}\left[{\frac {[g(x+\Delta x)-g(x)]}{\Delta x}}\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e15776c4ef65df70d0f9a353041f4efed5bafc8f)
![{\displaystyle {\frac {d}{dx}}\left[f(x)\right]\pm {\frac {d}{dx}}\left[g(x)\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ef506c07a97f260c7649fd622782c878eaaff692)
![{\displaystyle {\frac {d}{dx}}\left[3x^{2}+5x\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bb05350f8ecc0dc609003c4c1e8c257c54482b2b)
![{\displaystyle {\frac {d}{dx}}\left[3x^{2}\right]+{\frac {d}{dx}}\left[5x\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/10c5cda72b8a92ae62a9b6ce3df43d0f8d18b65f)
![{\displaystyle 6x+{\frac {d}{dx}}\left[5x\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/74275a4028ba89bb4c186b303c0342a21654e894)
Ang lathalaing ito na tungkol sa Matematika ay isang usbong. Makatutulong ka sa Wikipedia sa pagpapalawig nito.