How do you find the second derivative on a graphing calculator?
Press 2nd CALC and select maximum or minimum. The maximum or minimum point on the interval you selected will appear. To find the 2nd derivative at a single point, from the home screen enter nDeriv Y2 , X , and the x-coordinate you want to evaluate at. To graph the 2nd derivative, enter nDeriv(Y2,X,X) in Y3 and graph.
What does the second derivative look like on a graph?
The second derivative tells whether the curve is concave up or concave down at that point. If the second derivative is positive at a point, the graph is bending upwards at that point. Similarly if the second derivative is negative, the graph is concave down.
How do you calculate the second derivative?
Just a number (e.g.,4)
What is the meaning of the second derivative?
The “Second Derivative” is the derivative of the derivative of a function. So: The second derivative is shown with two tick marks like this: f” (x) A common real world example of this is distance, speed and acceleration: Example: A bike race! You are cruising along in a bike race, going a steady 10 m every second.
How do you graph the second derivative?
is the second derivative of position (x) with respect to time. On the graph of a function, the second derivative corresponds to the curvature or concavity of the graph. The graph of a function with a positive second derivative is upwardly concave, while the graph of a function with a negative second derivative curves in the opposite way.
What is implicit differentiation and how do I do it?
– For example, let’s say that we’re trying to differentiate x 3 z 2 – 5xy 5 z = x 2 + y 3. – First, let’s differentiate with respect to x and insert (dz/dx). Don’t forget to apply the product rule where appropriate! – Now, let’s do the same for (dz/dy) x 3 z 2 – 5xy 5 z = x 2 + y 3 2x 3 z (dz/dy) – 25xy 4 z –