Example: cos x
Apply the derivative operator "D[...]" -- there are two ways to do this:
Example: D[cos x]
Click the "Compute" button. The result of one derivative evaluation step will be entered back into the text input field.
If necessary, repeat the previous step to continue evaluating the derivative.
Example: D[x cos(x^{2})], takes three clicks
For partial derivatives, use the partial derivative operators "Dx[...]", "Dy[...]", "Dz[...]", etc. There are two ways to do this:
Example: Dy[cos(xy^{2})]
To erase the text input field, click the "Clear" button.
Derivative of x: D[x] = 1
Constant Multiple: D[2x] = 2
Exponential: D[e^{x}] = e^{x}
Cosine: D[cos x] = -sin x
Multiple steps:
Product Rule: D[x cos x] (two steps)
Power Rule: D[(cos x)^{3}] (two steps)
Chain Rule: D[cos(x^{2})] (two steps)
The applet can also compute multiple derivatives -- for example, D[D[cos x]] (the second derivative of cos x), which requires three steps to complete.