Finding the Derivative by the Limit Process find the derivative of the function by the limit process.

Q: Can the distance traveled by a particle ever be less than its displacement? When are they equal?

A: No, the magnitude of the displacement is always less than or equal to the distance traveled.

Q: Finding the Derivative by the Limit Process In the given question/s, find the derivative of the…

A: Here given as hx=-2x

Q: f(r+h)-f(x) Using f'(x) = lim Find the derivative of f(x) COS T.

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Q: (5, 2) (1, 0) (4, 0) (0, –1) (2, -1) (3,-2) (-1, -3) Graph of f" Note: This is the graph of the…

A: Since you have posted a question with multiple subparts we will solve the first three subparts for…

Q: explain

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Q: Use the chart to find h' (5) in simplest form. f (x) f'(x) g(x) g(a) 1 -3 -9 -7 6- 10 8. -5 h(x) =…

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Q: Let f(x) = x³e". Find f(100) (0)

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Q: x1 X4 x3 X5 X2 Figure above is the graph of f', the derivative of a function f. On what interval(s)…

A: The graph of the derivative of the function is given. We have to answer the following...

Q: (a) Explain both mathematically and graphically what makes a function odd or even. (b) Use the limit…

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Q: derivative of  f(x) = x csc(x) - 4cos(x)

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Q: Suppose the second derivative of a function f is f" (z) 0 (-∞, 1) U (1, 3) U (5,00) ○ (3,5) O (1,3)…

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Q: Sketch the graph of a function whose derivative satisfies the properties given in the following…

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Q: Using the definition of derivative of a function at a point, f′(a)=lim x→a f(x)−f(a)/x−a, find the…

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Q: Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or…

A: f'(x) = (x-5)e-x To determine:- Interval on which f(x) is increasing or decreasing

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: