Analyzing Concavity of a Function - Page 19
Questions
- Is #f(x) = (x+3)^(2/3) - 6x^3# concave or convex at #x=-1#?
- Given this graph of #f# where does #F# have a local min/max and find the intervals where #F# is concave up/down?
- Is #f(x) =-x^3-(x-2)(x-1)# concave or convex at #x=-1#?
- Suppose #f# is a differentiable function such that #f(2)=-4# and #f'(x)<=3# for all #x#. What is the maximum value that #f(5)# could be?
- Is #f(x) =(x-2)^3/(x^2+1)# concave or convex at #x=-1#?
- Use the function f(x) = x^2-4sqrtx to answer the following: A) Where is the curve concave up or down? B) Locate the points of inflection (if any). Help!?
- We have #f:RR->RR,f(x)=(x^2-1)abs(x^2+a),ainRR#.Which are values of #a# for which #f# is differentiable on #RR#?
- Is #f(x) =secx+cosx# concave or convex at #x=pi/3#?
- Is #f(x) =(x-2)^2/(x-1)# concave or convex at #x=2#?
- Is #f(x) =(x-3)^3/(x^2-9)# concave or convex at #x=3#?
- Is #f(x) = 8x^4+3x^3 + 4x^2+x-lnx# concave or convex at #x=11#?
- Is #f(x) =(x-1)^3/(x^2-4)# concave or convex at #x=3#?
- Is #f(x) =(x-2)^3/(x^2-7)# concave or convex at #x=8#?
- Please answer all for number 2?
- Show that f differentiable at (0,0) ?
- The tangent to y=x^3 + ax^2 - 4x + 3 at x=1 is parallel to the line y=3x. Find the value of a and the equation of the tangent at x=1. Where does the tangent cut the curve again?
- How do you differentiate the given function? F(y) = (#1/y^2# - #3/y^4#)(y + 5y^3)
- Parts #a, c,# & #d#? (See image)