When looking at the graph of an original function, how do you know when the derivative of the function will have an asymptote?

Q: Each graph below represents a function f(x). On the same axes, sketch the graph of the derivatived…

A: The solution is shown in step-2

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: 2. Find the slope of the graph of the function f(x) = 9x² - 4x5 at x = -1. Show your work using the…

A:

Q: 3. Sketch the graph of the derivative of the function below.

A: A rough graph can be plotted as values are not given in the given graph.

Q: How do you find the derivative of the sum of two functionsƒ + g?

A: we have to determine how to determine the derivative of the sum of two functions that is f+g.

Q: The graph of the derivative of a function is given. y For which x is the (original) function…

A: The graph of the derivative (f') of the graph f is given. Now, the original function f is increasing…

Q: Find the derivative of f(x)=2 by using the definition of the derivative. %3D

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Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: Between the ages of 7 and 11 years, a certain boy grows 1.5 inches taller each year. At age 8, he is…

A: solution -  Here it is given that every year boy's height increasing 1.5 inches so it is a constant…

Q: 1. Sketch the graph of the derivative of the function:

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Q: Draw a function that is always decreasing and has a derivative that is always increasing. Draw the…

A: Let a function f(x)=e-x The derivative of the function is  g(x)=f'(x)=-e-x Clearly f(x) is always…

Q: y

A: We have been given the graph of the derivative of a function.

Q: When dealing with graphs of a function, how would you find the original function graph when given a…

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Q: determine a function by being given the function’s first derivative and an initial condition for the…

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Q: 2. Sketch the derivative of the function whose graph is given below. Explain why you drew it the way…

A: We have to draw graph of derivatives function.

Q: Match the graph of the function with the graph of its derivative.

A: Assume that y = 0 at x1 and x2 in the given graph. From the given graph, it can be concluded that…

Q: Find a formula for the derivative of the function 2x2 – 3

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: