Suppose that f has zeros at 1 and 3. Show that there are two distinct real numbers x1 and x2 such that f '(x1) =-f' (x2).

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: If you restrict the function f(x)=x^2 to the set [0, 1], what are it's fixed points and its inverse?

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Q: Is there a real function f(x) that is differentiable only at a point x?

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Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

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Q: Prove that the function f(x)=x^2 defined on the domain of all real numbers does not satisfy a…

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Q: Use f- calculate to (f!) in the damain of f= ==-1, %3D

A: Given: f-1(x)=1x-1 ;          14≤x≤1

Q: known that the points (4, 7), (8, 11) and (14, 18) are on the graph of the function y = f(x). It is…

A: Given: (4,7),(8,11) and (14,18)   are on the graph of y=f(x)

Q: f(xh) fx) - , h 0, for the given function f Find the difference quotient h f(x) _

A: The given function is: