sketch graph of derivative function from original function
Nov 16, 2015 · sketch graph of derivative function from original function ... graph of derivatives will be simple ...
From the graph of the derivative $f'(x)$, make a sketch of the …
I haven't started finding the derivatives of functions yet, so at the moment this is strictly about finding the right derivative graph to an original graph. The task was this: Look at the graph be...
Finding the sketch of the original function from a sketch of its …
May 13, 2017 · Let's also say it's the graph of a derivative function and I had to find the graph of the original function between x = -2 and x = 4. How would finding the area underneath the graph, between these two points help me to sketch the original function? NOTE: I have a homework question very similar to this but with a different graph.
calculus - Intuitive way to find the graph of a derivative ...
Sep 26, 2011 · Imagine a point moving along the original graph, and the tangent to the graph at that point. As the point moves along the graph, the slope of the tangent changes. That tells you how the derivative is changing. When the slope of the tangent is large and positive, the derivative is large and positive.
How can I identify the graph of a function and the graphs of its …
the function has the blue graph. the first derivative is zero when the function reaches an extremum, its graph is the red one. the second derivative gives information on curvature. It is positive when the function decreases and increases just after. it is negative when the function increases and then decreases. its graph is the green one.
How to sketch the first and second derivative of this curve?
Jun 28, 2020 · Graph here. I have attempted to sketch the curve of the first derivative of this function and i ended up with a piecewise function graph. However, i am unsure whether the edges of the curve touching the x- axis will have a vertical tangent or not. So how do i sketch the derivatives of a graph of this nature?
How to find the approximate position of any roots of an original ...
May 12, 2017 · I've been able to find the stationary points, points of inflection etc. using the graph of this derivative function in order to draw a sketch of the original function but I'm unable to figure out a way to get an approximation of the roots using the derivative function graph. Once you draw the original function, and seeing where it cuts the x ...
Sketching the graph of the derivative of a piecewise function
Sep 1, 2024 · "Not continuous" implies "not differentiable" so classifying discontinuities could still give useful info about the shape of the derivative graph since you can use them to identify some non-differentiable points without taking a derivative. For example it may be useful to know if the original graph has as a removable or irremovable discontinuity.
calculus - Graphing the derivative from a graphed function ...
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calculus - How to understand the graph of a derivative
Aug 16, 2020 · Therefore, the slope, which is equal to the derivative, is negative. This just means it's sloping downwards. The reason the slope graph is linear is because the slope of the derivative graph represents how fast the derivative is changing, not the original function. For a parabola, the derivative changes linearly.