For the following exercises, use the limit definition of derivative to show that the derivative does not exist at x=ax=a for each of the given functions. [T] For the function f(x)=x^2 /x^ 2+1, do the following. Use a graphing calculator to graph ff in an appropriate viewing window. Use the nDerivnDeriv function on a graphing calculator to find f′(−4), f′(−2), f′(2), and f′(4)

Q: For the implicitly-defined function, calculate the derivative with respect to x. xy? + x?y – 2x3 = 9

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Q: 2. Using the graph of f(x) provided, create a sign chart for f'(x).

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Q: f(x +h) – f(x) lim h f(x) = 3x2 – 10x + 6 1.

A: Given  The function are  1) fx=3x2-10x+6 5) fx=8x    Formula :- f'(x)=limh→0fx+h-fxh .

Q: Given the graph of y = f(x), sketch the graphs of f' and f" on the same set of axis. 1.

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Q: xux-yuy+y2u=y2x find the general solution

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Q: By definition, we call a function differentiable at a closed interval [a, b] if it has:…

A: Option 1 is correct i.e [a right-hand derivative, a derivative, a left-hand derivative]  at every…

Q: Use the first derivative test to determine the local extrema, if any for the function

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Q: Here is the graph of a function ƒ (x). for 6 Print or hand copy the blank graph paper and draw a…

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Q: Find the derivatives w.r.t. x. F(x)=x³-x

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