Sketch a graph given two sign charts of a function and it's derivative.

Q: Explain how the first derivative of a function determines where the function is increasing and…

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Q: What is the derivative of this graph?

A: If you see graph interval (-6,-3)                              this line passes through (-4,-2) and…

Q: Define the term derivative of a function at a point?

A: The derivative of a function f(x) is the rate of change of f(x) with respect to x. The derivative…

Q: Describe geometrically when a function typically does not have a derivative at a point.

A: To describe geometrically when a function typically does not have a derivative at a point.

Q: What is the geometric interpretgtron of the derivative f'(a)?

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Q: Draw the derivative of these graphs.

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Q: Graph of polynomial f(x)

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Q: derivative

A: We will find the derivative.

Q: Use various notations for the derivative

A: Solution: There are four popular derivative notations : (1) Leibniz Notation (2) Lagrange Notation…

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

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Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: determine

A: We will find the derivative using product rule and chain rule.

Q: find the derivative of each function

A: To Find: The derivative of  18. fx=2x2-3x3919. fx=x3-5x2-320. fx=13x2-6x+2

Q: Use the graph of the function to sketch the graph of the derivative. (on the same grid is fine)

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Q: Given the graph of ƒ, sketch a rough graph of its derivative (with explanation)

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Q: Explain how to graph the derivative of a function given the graph of the function.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: The slope of the graph of the inverse tangent function is positive for all x. True or false?

A: Given: The slope of the graph of the inverse tangent function is positive for all x.

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: Sketch the graph of derivative of given functions.

A: Given graph of function is,

Q: What is a derivative?

A: The derivative of a function can be defined in two ways, one approach is graphical and other…

Q: Sketch a graph of a function whose derivative is zero at exactly two points. Explain how you found…

A: Sketch the graph of a function whose derivative is zero at exactly two points which means we can…

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: Find all derivatives of the cosine function.

A: We find first few derivatives of y=cosx

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: Determine the derivative of the following function. Do not simplify. y = ecosxsinx

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Q: Sketch the graph by using the properties of the derivative.

A: We have to sketch the graph of y=x2+2x by using the properties of the derivative.

Q: Find the directional derivative of the function in

A: Given, the function                                f(x, y)=ln(x2+y2)

Q: Sketch the graph of y= x²+ - by using the properties of the derivative. 2

A: To sketch the graph

Q: f(x)

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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: Every elementary function has an elementary derivative.

A: The elementary functions can be a constant, sum/difference of two elementary functions, product,…

Q: 1/3 for

A: Answer

Q: Illustrate the Derivative of Cosecant Function ?

A: Illustrate the Derivative of the Cosecant Function?

Q: Find the derivative of a trigonometric function.

A: We write g(t) using exponent first, then differentiate both sides with respect to t.…

Q: The Definition of Derivative

A: Question is solved.

Q: Sketch the graph of the function f whose derivative has the given graph

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Q: Use the original definition of the derivative to find the derivative of each function at the…

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Q: Sketch the derivative of the function whose graph is below.

A: We have to sketch the derivative of the function whose graph is given .

Q: 10

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

Q: Help with calc question    sketch graph of derivative

A: The tangent is plotted at different points and administered the change in slope from negative to…

Q: ______ provide a means to predict the value of a function at one point in terms of the function…

A: Given: Let us consider the given statement, "______ provide a means to predict the value of a…

Q: derivatives as functions of

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Q: Calculate the derivative of the function f (x) =-5x + 2 and plot the function and its derivative on…

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Q: Show that e is entire function.Find its derivative

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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: