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Section 2.7: Derivative Graphs. Recall. The derivative evaluated at x = a is the slope of the tangent line to the graph of y = f(x) at the point (a, f(a)). Hence, to find This chapter gives a complete definition of the derivative assuming a knowledge of high-school algebra, including inequalities, functions, and graphs. The next. In this worksheet you'll practice getting information about a derivative from the graph of a function, and vice versa. At the end, you'll match some graphs of What about these graphs? It would be difficult to come up with the equations. Can you graph their derivatives? khanacademy.org/math/calculus/e/ Calculus 1. Name. Worksheet – Sketching Graphs and Derivatives. 1). 3). Sketch a possible graph of the derivative based on the graph of the function. 1) ( ). f x. 1) The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. x y. (-5, 0). (-3, 2). The function f(x) = x2 has derivative f (x) = 2x. This derivative is a general slope function. It gives the slope of any line tangent to the graph of f. For instance, if we. Derivatives and Graphs. Stewart §3.3. Increasing and decreasing functions. We will see how to determine the im- portant features of a graph y = f(x) from the 1) Given the graph of f(x) below, complete the chart, estimating the derivative (slope of the tangent line) at the given values of x. It is sometimes helpful to use 1) Given the graph of f(x) below, complete the chart, estimating the derivative (slope of the tangent line) at the given values of x. It is sometimes helpful to use The graph at the right is the derivative of a function f. a) Find where f is increasing or decreasing. Justify your answer. b) Find all relative maximum(s) or minimum(