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Moa (Diskussion | bidrag) (→Deriveringsregler) | Jrhoads (Diskussion | bidrag) | ||
Rad 1: | Rad 1: | ||
=Deriveringsregler= | =Deriveringsregler= | ||
{|class="mltable" | {|class="mltable" | ||
− | |+Deriveringsregler | + | |+<translate>Deriveringsregler</translate> |
− | !style="text-align:left"|Funktion ||style="text-align:left"|Derivata | + | !style="text-align:left"|Funktion ||style="text-align:left"|<translate>Derivata</translate> |
|- | |- | ||
|style="text-align:left"|$x^n$ ||style="text-align:left"| $nx^{n-1}$ | |style="text-align:left"|$x^n$ ||style="text-align:left"| $nx^{n-1}$ | ||
Rad 18: | Rad 18: | ||
|style="text-align:left"|$f(x)+g(x)$ ||style="text-align:left"| $f'(x)+g'(x)$ | |style="text-align:left"|$f(x)+g(x)$ ||style="text-align:left"| $f'(x)+g'(x)$ | ||
|- | |- | ||
− | |style="text-align:left"|konstant ||style="text-align:left"| $0$ | + | |style="text-align:left"|<translate>konstant</translate> ||style="text-align:left"| $0$ |
|} | |} |
Funktion | Derivata |
---|---|
xn | nxn−1 |
ax | ax ⋅ln(a) |
akx | akx⋅k⋅ln(a) |
ex | ex |
ekx | kekx |
k⋅f(x) | k⋅f′(x) |
f(x)+g(x) | f′(x)+g′(x) |
konstant | 0 |