# Limits and Derivatives

Test your knowledge of limits and derivatives with this online multiple choice quiz. Get instant feedback on your answers and learn more about calculus.. Challenge yourself to get the highest score. Twenty (20) MCQ questions from our test bank will be randomly shown for every attempt. Passing mark for this test is 70%.

Welcome to your Limits and Derivatives

A cylindrical boiler is to have a volume of 1340 cu ft. The cost of the metal sheets to make the boiler should be minimum. What should be its diameter in feet?

If ln (ln y) + ln y = ln x, find y’

What is the limit of cos (1/y) as y approaches infinity?

Find the second derivative of y=(2x+1)^2+x^3.

Find dy/dx by implicit differentiation at point (0,-2) if x^3-xy+y^2=4. a. ½

Find the derivative of h with respect to u if h=π^(2u).

Find the slope of the ellipse x^2+4y^2-10x+16y+5=0 at the point where y=2+8^0.5 and x=7.

Find the point of inflection of f(x)=x^3-3x^2-x+7

. Evaluate the limits of lim (x^3-2x+9) /(2x^3-8).

Find the slope of the curve x^2+y^2-6x+10y+5=0 at point (1,0).