What do you look for when you need to match the graph of a function with the graph of its derivative?

Q: Use the graph of the function f(x) to sketch the graph of the derivative f’(x)

A: We have to graph the function f(x) and its derivative.

Q: Differentiate the following function. You do not need to simplify the derivative. - 9x e G(x) : x5…

A: Simply differentiate Using concept of derivative of the form f = uv

Q: Graph of polynomial f(x)

A:

Q: How do you find the fifth derivative of a function?

A: To find the derivative we differentiate the function once.  To find the second derivative we…

Q: What is the meaning of a derivative?

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Q: Explain how to graph a function given the graph of the derivative function. Note that the answer is…

A: Perhaps the most obvious are the extreme. Because we know that the tangent line is always horizontal…

Q: Find f'(x). 1 f(x) You must use the "definition" of derivative. /x + 5

A: To determine the derivative of the function.

Q: I dont know how to find the derivative of the function using the definition of derivative. And…

A: Given that: f(x)=1x2-4

Q: Explain in words how to evaluate the derivative of function?

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

A: Given data÷

Q: %3D (4) Use the definition of the derivative to find the derivative for f(x) = 3+

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Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

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Q: find the derivative of the function given.

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Q: Explain why the derivative of a constant function is 0.

A: We have to explain that derivative of a constant function is 0. We know that constant function is…

Q: Graph of derivative of function, f'(x), is given. y= f'(x) 1 5 7 8

A: We know that when f'(x) goes from negative to positive then f(x) will be decreasing and then…

Q: Using the definition of derivative, find the derivative of f(x)= /3-x

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Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: Sketch the graph of the derivative for function shown.

A: Graph has a horizontal tangent between x=-2 and x=-1, at x=0 and at x=2.9, Therefore graph of f'…

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

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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: What is the derivative of the following function?

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Q: Match the graph of the original function given the graph of the derivative. 1. -10 2. 10

A: Observe the graph and find wheather it is decreasing or increasing with increasing x .

Q: 3 Use the definition of derivative to find f'(x) for f(x): II

A: Given:

Q: Is the function above differentiable everywhere? Explain using derivatives.

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

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Q: The derivative of the function is equal to

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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: Is there anything special about the derivative of an even differentiable function of x? Give reasons…

A: The derivative of an even differentiable function is odd.

Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…

Q: Match each function with the graph of its derivative. Function Derivative

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: derivative for this function

A: The given question is taken from the calculus in which we have to find the derivative of the given…

Q: Sketch a graph of the first and second derivative for the function f(x) shown:

A: Solution is given below:

Q: Give examples of still other applications of derivatives.

A: Derivatives have various important applications in Mathematics such as:Rate of Change of a…

Q: -3 Find the derivative of the function f (x) = (2 – x*)

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Q: 1 Use the definition of derivative to find the derivative of the function f()

A: Solution:

Q: Enumerate and explain the steps in finding the derivative of this function: y=1/[2*sqrt(x+3)]

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Q: . What process can you use to find the derivative of f(x) g(x) ? Illustrate by showing how to take…

A: We have to find

Q: Find any relative extrema of the function f (x) = x³ - 3x². Then, sketch a graph of the function.…

A: Let f(x)= x3-3x2. We need to find the extrema of the function by using first derivative test and…

Q: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

A: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

Q: derivative

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Q: Using the definition of derivative, find f' (x) for the function Let f(x) = x-3'

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Q: y = x-12; (4,) Use the derivative feature of a graphing utility to confirm your results.

A: We will solve the following

Q: Find the derivative of the following function f(x)=2x-1 using the definition of the derivative Show…

A: y=2x-1

Q: When given a function f(x), describe (in common language) what the derivative function f'(x) is and…

A: Solution 1:   The derivative of a function f(x) of a variable x is a measure of the rate at which…

Q: Find the derivative of the function. +

A:

Q: [4] For the Basic Absolute Value function f(x) = x, (a) state its slope (derivative) function (b)…

A: The absolute value function, |x| is defined as follows. |x|=xx≥0-xx<0   The graph of |x| can be…

Q: Use first principles definition of the derivative to find f'(x) for the function 3 f(x)= x-2 =

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Q: 10

A: The graph of derivative is made by observing the slope of given function

Q: Apply your understanding of derivatives to determine any intervals of increase for the function…

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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: