Doing a sample problem where i need to:
Open a new Mathematica Notebook.
2. Type your name in a suitable cell.
3. Define the function below.
f(t) = ArcTan(0.5log(t^2+1)) - 0.1t^2
Interval = 0->2
4. Graph the function over the specified range with suitable axes labels.
5. Compute the area under the curve over the specified range.
6. Compute the horizontal and vertical coordinates of the Critical Point in the range.
I put this into mathematica so far:
f[x_] = ArcTan[0.5Log(x^2 + 1)] - 0.1x^2;
f'[x];
Plot[{f[x], f'[x]}, {x, 0, 2}];
but i'm getting
Plot:: Plnr: f[x] is not a machine-size real number at x = 0.16961759971874735..
IDEAS?
Open a new Mathematica Notebook.
2. Type your name in a suitable cell.
3. Define the function below.
f(t) = ArcTan(0.5log(t^2+1)) - 0.1t^2
Interval = 0->2
4. Graph the function over the specified range with suitable axes labels.
5. Compute the area under the curve over the specified range.
6. Compute the horizontal and vertical coordinates of the Critical Point in the range.
I put this into mathematica so far:
f[x_] = ArcTan[0.5Log(x^2 + 1)] - 0.1x^2;
f'[x];
Plot[{f[x], f'[x]}, {x, 0, 2}];
but i'm getting
Plot:: Plnr: f[x] is not a machine-size real number at x = 0.16961759971874735..
IDEAS?
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