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Derivatives...
if 10 800 cm2 of material is available to make a box with a square base and an open top find the largest possible volume of the box.
Determine whether there is a maximum or minimum vale for the given function, and find that value. f(x)= x^2+6x+4
If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3,2), which of the following statements must be true? (a) The graph of f has a point of inflection somewhere between x = -1 and x= 3 (b) f’(-1) = 0 (c) this is wrong (d) The graph of f has a horizontal tangent line at x = 3 (e) The graph of f intersects both axes - Correct answer I understand why e is correct, but I do not get why a, b, and d are all wrong. Aren’t b and d to be expected since they are relative max/min’s? I also can’t imagine a case in which "a" is incorrect. Can someone explain why they are wrong? Thank you!
Simple question Derivative of \( \boxed{f(y)= \frac{y^2}{y^3+8} } \)
Find the second derivative for y=(x+2)/(x-3)
Find the derivative of the function. y=sqrt( 3x+sqrt( 3x+sqrt( 3x)
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