# Instantaneous Rate of Change at a Point - Page 3

Questions

- What is the instantaneous rate of change of #f(x)=ln(2x^2-x+6) # at #x=-2 #?
- What is the instantaneous rate of change of #f(x)=1/(x^2-2x+5 )# at #x=0 #?
- How to find instantaneous rate of change for #sqrt(4t + 6)# when t=6?
- What is the instantaneous rate of change for #f(x)=x^3-x^2-2x 4# when x=2?
- How many points in the interval [-a, a] does the instantaneous rate of change of f equal the average rate of change of f if #f(x)= e^(x^2)#?
- How do you compute the instantaneous rate of change of #f(x)=sqrt(4x+1)# at the point (2,3) as a limit of the average rate of change of f(x) on the interval #[2,2+h]#?
- A circle is growing so that the radius is increasing at the rate of 5 cm/min. How fast is the area of the circle changing at the instant the radius is 20 cm? Include units in your answer.
- What is the instantaneous rate of change for #g(x) = x^2 − x + 4# when x=-7?
- How to find instantaneous rate of change for #f(x) = -x^4+1 # at (3, -80)?
- What is the instantaneous rate of change of #f(x)=1/(x^3-2x+5 )# at #x=1 #?
- What is the instantaneous rate of change of #f(x)=x/(-x-8)# at #x=4 #?
- What is the instantaneous rate of change of #f(x)=6x^2-3x # at #x=3#?
- How does instantaneous rate of change differ from average rate of change?
- What is the difference between the slope of a tangent and instantaneous rate of change of #f(x)#?
- How to find instantaneous rate of change for #s(t) = t^3 + t# when t=2?
- How do you find the instantaneous rate of change for #f(x) = x^3 + 1# for x=1?
- What is the instantaneous rate of change of #f(x)=1/(x^2+2x+3 )# at #x=0 #?
- How do you determine the instantaneous rate of change of #y(x) = sqrt(3x + 1)# for #x = 1#?
- How do you compute the rate of change of the function #f(x) = 1+1/(x+1)# at the point #x = a#?
- How to find instantaneous rate of change for #f(x) = 3x^2+4x# at (1, 7)?