diff --git a/MA0902_Analysis_Informatik/ableitungen und integrale.yaml b/MA0902_Analysis_Informatik/ableitungen und integrale.yaml index 8a00851..23b26ed 100644 --- a/MA0902_Analysis_Informatik/ableitungen und integrale.yaml +++ b/MA0902_Analysis_Informatik/ableitungen und integrale.yaml @@ -3,27 +3,33 @@ id: 159423406 author: Hendrik Hübner cards: - type: markdown - front: "[$$]\\frac{d}{dx}\\sin(x)[/$$]" - back: "[$$]\\cos(x)[/$$]" + id: 0 # (generated) + front: '[$$]\frac{d}{dx}\sin(x)[/$$]' + back: '[$$]\cos(x)[/$$]' - type: markdown - front: "[$$]\\frac{d}{dx}\\cos(x)[/$$]" - back: "[$$]-\\sin(x)[/$$]" + id: 1 # (generated) + front: '[$$]\frac{d}{dx}\cos(x)[/$$]' + back: '[$$]-\sin(x)[/$$]' - type: markdown - front: "[$$]\\frac{d}{dx}a^x[/$$]" - back: "[$$]a^x \\cdot \\ln(a)[/$$]" + id: 2 # (generated) + front: '[$$]\frac{d}{dx}a^x[/$$]' + back: '[$$]a^x \cdot \ln(a)[/$$]' - type: markdown - front: "[$$]\\frac{d}{dx}\\log_b(x)[/$$]" - Back: "[$$]\\frac{1}{x \\cdot \\ln(b)}[/$$]" + id: 3 # (generated) + front: '[$$]\frac{d}{dx}\log_b(x)[/$$]' + Back: '[$$]\frac{1}{x \cdot \ln(b)}[/$$]' - type: markdown - front: "[$$]\\frac{d}{dx}\\left(\\frac{f(x)}{g(x)}\\right)[/$$]" - back: "[$$]\\frac{f'(x) \\cdot g(x) - f(x) \\cdot g'(x)}{(g(x))^2}[/$$]" + id: 4 # (generated) + front: '[$$]\frac{d}{dx}\left(\frac{f(x)}{g(x)}\right)[/$$]' + back: "[$$]\\frac{f'(x) \\cdot g(x) - f(x) \\cdot g'(x)}{(g(x))^2}[/$$]" - type: markdown + id: 5 # (generated) front: Nenne vier Grundlegende nicht elementare Integrale back: |+ - [$$]\\int e^{-x^2} \\, dx[/$$] @@ -32,21 +38,26 @@ cards: - [$$]\\int \\frac {sin(x), x} \\, dx [/$$] - type: basic - front: "[$$]\\int \\sin(x) \\, dx[/$$]" - back: "[$$]-\\cos(x) + C[/$$]" + id: 6 # (generated) + front: '[$$]\int \sin(x) \, dx[/$$]' + back: '[$$]-\cos(x) + C[/$$]' - type: basic - front: "[$$]\\int \\cos(x) \\, dx[/$$]" - back: "[$$]\\sin(x) + C[/$$]" + id: 7 # (generated) + front: '[$$]\int \cos(x) \, dx[/$$]' + back: '[$$]\sin(x) + C[/$$]' - type: basic - front: "[$$]\\int a^x \\, dx[/$$]" - back: "[$$]\\frac{a^x}{\\ln(a)} + C[/$$]" + id: 8 # (generated) + front: '[$$]\int a^x \, dx[/$$]' + back: '[$$]\frac{a^x}{\ln(a)} + C[/$$]' - type: basic - front: "[$$]\\int \\ln(x) \\, dx[/$$]" - 0back: "[$$]x \\ln(x) - x + C[/$$]" + id: 9 # (generated) + front: '[$$]\int \ln(x) \, dx[/$$]' + 0back: '[$$]x \ln(x) - x + C[/$$]' - type: basic - front: "[$$]\\int \\sqrt{x} \\, dx[/$$]" - back: "[$$]\\frac{2}{3}x^{3/2} + C[/$$]" + id: 10 # (generated) + front: '[$$]\int \sqrt{x} \, dx[/$$]' + back: '[$$]\frac{2}{3}x^{3/2} + C[/$$]'