True or False Questions: 1)If a function is continuous at a point a, then the fu

Question

True or False Questions: 1)If a function is continuous at a point a, then the function is differentiable at a. 2) If a function is differentiable at a point a, then the function is continuous at a. 3)If f(1) > 0 and f(3) < 0, then there exists a number c between 1 and 3 such that f(c) = 0. 4) If s(t) is the position function of an object, then s ''(t) is its velocity function. 5) Newton is credited for the Fundamental Theorem of Calculus. 6. True or False: If f '(c) = 0, then f(x) has a local maximum or minimum at c. 7)If f '(x) < 0 for 1 < x < 6, then f(x) is decreasing on (1, 6). 8)If f ''(x) = 0 at the point x = c, then c is a point of inflection. 9)The most general antiderivative of f(x) = x^?2 is F(x) = ?1/x + C

Explanation / Answer

1. true sometimes 2. true 3. true 4. false, s'(t) is the velocity, s''(t) is acceleration. 5. Newton finished the theorem so true i guess 6. true 7. true 8. true i think 9. i dont know what that question mark is but im pretty sure it is false. antiderivative formula for a polymial is (x^(n+1))/(n+1). for example, antid of x^2= (x^3)/3

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