A velocity at 2, 5 and 8 seconds

A velocity at 2, 5 and 8 seconds

In physics, you are often given the position of an object as a function of time, and asked for its velocity at certain moments. The velocity is the derivative of the position. Here the position is 3x2−6x+4\displaystyle 3x^{2} - 6x + 4, with x\displaystyle x in seconds. What is the velocity at 2 seconds, at 5 seconds and at 8 seconds? Press on C, alpha and the derivative key. Type the function: 3, alpha, x, x squared, minus, 6, alpha, x, plus, 4. The right arrow moves to the value of x\displaystyle x: type 2 and press equals. The velocity at 2 seconds is 6.. For another moment, you do not type the function again: change only the value of x\displaystyle x. The left arrow returns to the expression. The left arrow again puts the cursor after the value of x\displaystyle x. A third time puts it on the value, and back space deletes it. Type 5 and press equals: 24.. Once more for 8 seconds: left, left, left, back space, then 8 and equals: 42..