Lösungen der Aufgaben rüberkopiert.

This commit is contained in:
2024-02-26 16:58:38 +01:00
parent be933b27d3
commit e81056717e
39 changed files with 449 additions and 0 deletions

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@@ -0,0 +1,14 @@
syms x;
f(x) = x^x;
f_x = diff(f,x);
f_xx = diff(f_x,x);
f_xxx = diff(f_xx,x);
disp("f'(x):");
disp(simplify(f_x,100));
disp("f''(x):");
disp(simplify(f_xx,100));
disp("f'''(x):");
disp(simplify(f_xxx,100));

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@@ -0,0 +1,4 @@
syms x;
f(x) = tan(x);
f_x = diff(f,x);
disp(f_x);

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@@ -0,0 +1,5 @@
syms x;
f(x) = 1-x / sqrt(x)-x;
f_x = diff(f,x);
disp(f_x);

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@@ -0,0 +1,8 @@
syms x;
f(x) = x^2 * x^(3/4);
f_x = diff(f,x);
%simplify(f_x,Steps=100);
disp(f_x);

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@@ -0,0 +1,9 @@
syms t;
f(t) = (6*(1+2*t^2 )*(t^3 - t)^2) / (sqrt(t+5*t^2)*(4*t)) + (sqrt(1+2*t)) / (t + sqrt(1+t^2));
f_t = diff(f,t);
%simplify(f_t,Steps=100);
disp(f_t);

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@@ -0,0 +1,13 @@
syms x y;
f(x,y) = (sin(x-2)*exp(2*y)) / ((x-1)^3 * (y^2 +3)^5 );
f_x = diff(f,x);
f_y = diff(f,y);
f_xy = diff(f_x,y);
%simplify(f_t,Steps=100);
disp(f_x);
disp(f_y);
disp(f_xy);

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@@ -0,0 +1,5 @@
syms x y z;
f(x,y,z) = [x*y^3; x*y*z; y^2*z^4];
disp(jacobian(f));