Differential regne regler
| (f(x)) | (f^{,}(x)) |
| (f(x)=k) | (f^{,}(x) = 0) |
| (f(x)=a cdot x) | (f^{,}(x) = a) |
| (f(x)={x^n}) | (f^{,}(x)=n cdot {x^{n-1}}) |
| (f(x)={a^x}) (a >0,a neq 1) | (f^{,}(x)=ln cdot a cdot {a^x}) |
| (f(x)=cos(x)) | (f^{,}(x)=-sin(x)) |
| (f(x)=sin(x)) | (f^{,}(x)=cos(x)) |
| (f(x)=tan(x)) | (f^{,}(x)=1+{left(tan(x)right)^2}={left(cos(x)right)^{-2}}) |
| (f(x)=ln(x)) | (f^{,}(x) = {x^{-1}}) |
| (f(x)=log(x)) | (f^{,}(x) = left( x cdot ln10right)^{-1}) |
| (f(x)=log_{it a}(x)) (hvor a er logaritmens grundtal) | (f^{,}(x) = left( x cdot ln(a)right)^{-1}) |
| (f(x)={e^x}) | (f^{,}(x) = {e^x}) |