Explain in your own words, how do you find the followings using first and second derivatives of function f(x): a- minimum and maximum points for function f(x) b- increasing and decreasing intervals for f(x) c- concave up or concave down intervals for f(x) d- point of inflection for f(x)

Q: (a) tive of f(r) = r at z = a. Find the value of a given that lim, 8+h)* – 64 represents the deriva-…

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Q: Find an equation for the tangent line to the graph of the given function at (-3,1). f(x) = x² – 8…

A: Given: The function fx=x2-8and the point -3,1. To find: The equation of tangent line to the graph of…

Q: 1 Suppose that f is a function given as f(x) We will compute the derivative of 2x +3 follows. First,…

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Q: Given the function, find the derivative f (x) = -()" 3z 4 3z- 3 12() 3z-4 O None of the Above

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Q: The graph of the first derivative f'(x) of a function f is shown below: 50- -50- 100- Does f have…

A: Given:

Q: represents

A: False

Q: Analyze using the tools of Calculus and sketch the graph of f (x) = x4 - 3x3 + 3x2 + 1. There must…

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Q: is even, odd function or neither

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Q: Find the derivative f(x)= Inlex+9)

A: To find: the derivative of f(x)

Q: For the function f(x)-4+ 12x²-x³, find the local extrema. Then, classify the local extrema using the…

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Q: How can you sometimes identify a function ƒ(x) by knowing ƒ'and knowing the value of ƒ at a point x…

A: To identify the function fx when f' and value of function fx at a point is known.

Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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