## How do you find the original function from a derivative graph?

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Draw the Function given Graph of Derivative – YouTube

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## How do you read a derivative graph?

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Ex 1: Interpret the Graph of the First Derivative Function – Degree 2

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## What does the graph of a derivative tell you?

The first derivative of a function is an expression which tells us the slope of a tangent line to the curve at any instant. Because of this definition, the first derivative of a function tells us much about the function. If is positive, then must be increasing. If is negative, then must be decreasing.

## What is an Antiderivative in calculus?

In calculus, an antiderivative, primitive function, primitive integral or indefinite integral of a function f is a differentiable function F whose derivative is equal to the original function f. This can be stated symbolically as. .

## How do I find the derivative of a function?

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Finding the original function when given the derivative – YouTube

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## Is the derivative the slope?

The derivative measures the steepness of the graph of a function at some particular point on the graph. Thus, the derivative is a slope.

## What is a tangent line to a curve?

In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that “just touches” the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve. The word “tangent” comes from the Latin tangere, “to touch”.

## How do you sketch a curve?

**The following steps are taken in the process of curve sketching:**

- Domain. Find the domain of the function and determine the points of discontinuity (if any).
- Intercepts.
- Symmetry.
- Asymptotes.
- Intervals of Increase and Decrease.
- Local Maximum and Minimum.
- Concavity/Convexity and Points of Inflection.
- Graph of the Function.