# Relationship between First and Second Derivatives of a Function - Page 2

Questions

- What is the second derivative of #f(x)= ln (x^2+2)#?
- What is the second derivative of #f(x)=-cot^2x #?
- What is the second derivative of #f(x)=4x^3-3x^2+9x-1 #?
- What is the second derivative of #f(x) = x^2ln x #?
- What is the second derivative of #g(x) = sec(3x+1)#?
- A round balloon is being blown up with helium so that t seconds after starting, the radius is 2t cm. Remember that for a sphere with a radius r, V=(4/3)(pi)r^3 and SA= 4(pi)r^2. What is the equation for V'(r)?
- What is the second derivative of #f(x)=e^x/x^2 #?
- What is the second derivative of #f(x)= (x+1)/(x-1)#?
- Find #y′′# for the curve #ln(x) + y = ln(x^2) − y^2# at #y = 0#?
- How do you find the local maximum and minimum values of # f ' (x) = (x-8)^9 (x-4)^7 (x+3)^7#?
- What is the second derivative of #f(x)= xe^(x^3)#?
- How do you find all local maximum and minimum points using the second derivative test given #y=x^3-9x^2+24x#?
- What is the second derivative of #f(x)=(x-1)/(x^2+1)#?
- What is the second derivative of the function #f(x)=sec x#?
- What is the second derivative of #f(x)=csc(3x^2-x)#?
- What is the second derivative of #f(x)=x^2/(x^2+3) #?
- Show that if #y= (sin^-1 x)^2# then #(1 - x^2) (d^2y)/(dx^2) - xdy/dx - 2 = 0# ?
- What is the second derivative of #f(x)= e^(x^3)#?
- What is the second derivative of #f(x)=cos(e^-x)#?
- What is the second derivative of #f(x)= 2x^3- sqrt(4-x^2)#?