it x>,0 f(x) = { cash it xco a) is not differentiable at the origin b) is differentiable with discontinuous derivative a continuous and differentiable at the origin d) is not continuous at the origin

Q: Derivative of In |x| Differentiate In x, for x > 0, and differentiate In(-x), for x < 0, to conclude…

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Q: If the derivative of y = f(x) at x = 2 is equal to " (0 " then y = f(x) is not continuous at r = 2.…

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Q: Let ƒ be a function that is continuous everywhere. The graph of the derivative of f, is shown below.…

A: (a) True Explanation : The graph of f' is decreasing on the interval (0,∞) , hence the function f is…

Q: 4z and draw the tangent lines to the graph at points whose x-coordinates Graph the function f(z) =…

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Q: Find a function f so that the maximum rate of change occurs in the direction of u = (1/sqrt(5))…

A: The maximum rate of change occurs at ||grad(f)||. We are given that,       We know that the maximum…

Q: If the derivative of y=f(x) does not exist at X = a then y f(x) is not continuous at X = A) True B)…

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Q: 3 Graph of f' 82. The graph of f', the derivative of f, is shown above. The line tangent to the…

A: Given, The graph of f', the derivative of f is shown above. The line tangent to the graph of f', at…

Q: (TRUE / FALSE) If θ^ML is the MLE of θ, f(θ^ML) is the MLE of f(θ) where f is a continuous function.

A: Solution: Invariance property of MLE.   If θ^ is the MLE of θ  and f is any one to one function…

Q: Let f(x,y)=tan^-1(y,x). Find and simplify fx and fy. Then find and simplify fxx, fxy, and fyy.

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Q: the real and imaginary parts determine the following functions and then chek the cauchy riemann…

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: Which of the following is the derivative of f(x) Select one alternative: ○ f'(0) 1 h→0 1-h ○ f'(0) =…

A: We need to find out the correct answer.

Q: √x² +5 X + 2] 2x² - 5x + 3 |1x| f(x)=[-2x if x 1.

A: Definition: A function fx is continuous at x=a if and only if the limit limx→afx exists. The symbol…

Q: O O O O O the interval [3, 6]. O (A) (B) (E) (A) (B) Using f(x) defined below, determine the average…

A: Given query is to find average rate of change.

Q: Suppose f is smooth, twice-differentiable, continuous function on (-0, 00) and has a local minimum…

A: Given information: Suppose f is smooth, twice differentiable, continuous function on -∞,∞ and has a…

Q: Suppose f(r) is a function whose Derivative f'(x) is graphed below on the domain [0, 9). y = f'(x) 1…

A: Given: The graph of on the domain . To find: Interval on which is increasing. Interval on which…

Q: Find the 2nd derivative of f(x) = x^3+x^4 and its sign chart.

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