How-to 10 steps, run in order in one session. Every step was executed against the engine and the output below is what it produced.

Step 1

f[x_] = x ^ 3 - Sin[x ^ 2]

Output

x^3 - Sin[x^2]

Step 2

f'[x]

Output

3*x^2 - 2*x*Cos[x^2]

Step 3

f'''[x]

Output

6 + 8*x^3*Cos[x^2] + 12*x*Sin[x^2]

Step 4

D[f[x], x]

Output

3*x^2 - 2*x*Cos[x^2]

Step 5

D[f[x], {x, 3}]

Output

6 + 8*x^3*Cos[x^2] + 12*x*Sin[x^2]

Step 6

g[x_, y_] = (x + y) ^ 4

Output

(x + y)^4

Step 7

D[g[x, y], x, {y, 2}]

Output

24*(x + y)

Step 8

{HeavisideTheta[-1], HeavisideTheta[0], HeavisideTheta[1]}

Output

{0, HeavisideTheta[0], 1}

Step 9

HeavisideTheta'[x]

Output

DiracDelta[x]

Step 10

Plot[{HeavisideTheta[x], DiracDelta[x]}, {x, -2, 2}, PlotStyle -> {{Thickness[.02], Green}, {Thickness[.01], Red}}]

Output

-Graphics-

Take a derivative

Functions used