Analyzing Concavity of a Function - Page 5
Questions
- How do you find the concavity for #f(x)= -6 sqrt (x)#?
- For what values of x is #f(x)=3x^3+2x^2-x+9# concave or convex?
- If #y = 3x^5 - 5x^3#, what are the points of inflection of the graph f (x)?
- Consider the curve #y = (x^2- 2x+k)(x-6)^2 #, where #k# is a real constant. The curve has a maximum point at # x =3#. What is the value of #k#?
- How do you find concavity, inflection points, and min/max points for the function: #f(x)=x(x^2+1)# defined on the interval [–5,4]?
- For what values of x is #f(x)=(2x-2)(x-4)(x-3)# concave or convex?
- Is #f(x)=(x-3)(x-2)-x^2+x^3# concave or convex at #x=-1#?
- Is #f(x)=e^(x-1)-x^2/(x-1)-1# concave or convex at #x=-1#?
- How do you use the second derivative test to find where the function #f(x) = (5e^x)/(5e^x + 6)# is concave up, concave down, and inflection points?
- For what values of x is #f(x)=-x^2+4x+2# concave or convex?
- Is #f(x)=sinx# concave or convex at #x=pi/2#?
- For what values of x is #f(x)=(x-1)(x-6)(x-2)# concave or convex?
- Is #f(x)=-x^5-2x^2-6x+3# concave or convex at #x=-4#?
- Is #f(x)=(x-3)(x+2)(x-4)^2# concave or convex at #x=-1#?
- Is #f(x)=-2x^5+7x^2-6x+3# concave or convex at #x=-4#?
- Is #f(x)=3x^5-x^3+8x^2-x# concave or convex at #x=0#?
- For what values of x is #f(x)=(2x-2)(x-4)(3x-3)# concave or convex?
- How do you use the second derivative to determine concave up / down for #f(x) = 3x^3-18x^2+6x-29#?
- How do you find interval of increasing, decreasing, concave up and down for #f(x) = 2x^3-3x^2-36x-7#?
- What is the concavity of a linear function?