Advanced Placement (AP)

Advanced Placement (AP), 10.11.2019 23:31, ErrorNameTaken505

Function f is differentiable function, where f(-2) = 1 and f' (-2) = 5. if the tangent line to the graph of function f at x= -2 is used to approximate the value of the zero of function f, then that approximation is

a. -0.3
b. -2.2
c. -2.4
d. -0.1

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Mathematics, 10.07.2019 18:30, gvizabal

[calculus, derivatives] can a function be differentiable at certain points even if the entire function is not differentiable? this would be where, in a function where a point is not differentiable ( such as at x = -2 in f(x) = |x+2| ), could the other points (at x = 1, 5, 500, anything but x = -2) be considered differentiable despite the function as a whole not being differentiable due to that non-differentiable point? (i figured since there can be continuity at one point, but not throughout an entire function, that it may be the same here even though continuity and differentiability are two different things? ? regardless, clarification is really appreciated! even if it may turn out to be useless to know for the course or anything in general, i'd like to know.)

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Mathematics, 29.07.2019 16:30, rleiphart1

15. the following statements concerning the location of an extreme value of a twice-differentiable function, f, are all true. which statement also includes the correct justification? (a) the function has a maximum at x=5 because f'(5)=0. (b) the function has a maximum at x=5 because f'(x)< 0 for x< 5 and f'(x)> 0 for x> 5. (c) the function has a minimum at x=3 because the tangent line at x=3 is horizontal. (d) the function has a minimum at x=3 because f'(x)< 0 for x< 3 and f'(x)> 0 for x> 3. (e) the function has a minimum at x=3 because f"(3)< 0.,

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Mathematics, 01.10.2019 06:40, arnold2619

The following statements concerning the location of an extreme value of a twice-differentiable function, f, are all true. which statement also includes the correct justification? (a) the function has a maximum at x=5 because f'(5)=0. (b) the function has a maximum at x=5 because f'(x)< 0 for x< 5 and f'(x)> 0 for x> 5. (c) the function has a minimum at x=3 because the tangent line at x=3 is horizontal. (d) the function has a minimum at x=3 because f'(x)< 0 for x< 3 and f'(x)> 0 for x> 3. (e) the function has a minimum at x=3 because f"(3)< 0.

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Function f is differentiable function, where f(-2) = 1 and f' (-2) = 5. if the tangent line to the g...

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