f′Field Guide
Mixed

Quick quiz

Ten fast questions from all six sections. Pick an answer for instant feedback.

Score0/ 10 · 0 answered
1. ddx(1x2)\dfrac{d}{dx}\left(\dfrac{1}{x^2}\right) =
2. f(x)=∣x∣f(x)=|x| at x=0x=0 is…
3. ddx(excos⁡x)\dfrac{d}{dx}(e^x\cos x) =
4. lim⁡x→0sin⁡5xx\displaystyle\lim_{x\to0}\frac{\sin 5x}{x} =
5. ddxtan⁡(4x)\dfrac{d}{dx}\tan(4x) =
6. ddx(xx+1)\dfrac{d}{dx}\left(\dfrac{x}{x+1}\right) =
7. For x2+y2=25x^2+y^2=25, dy/dxdy/dx =
8. ddx ex2\dfrac{d}{dx}\,e^{x^2} =
9. ddx(csc⁡x)\dfrac{d}{dx}\left(\csc x\right) =
10. ddx 2x\dfrac{d}{dx}\,2^x =