school
Acemy

The Quotient Rule

AP Calculus AB· difficulty 3/5

Use the quotient rule on tan⁡x=sin⁡x/cos⁡x\tan x = \sin x/\cos x: ddxtan⁡x=\dfrac{d}{dx}\tan x =

  • A

    Both B and C

    check_circle
  • B

    sec⁡x\sec x

  • C

    1+tan⁡2x1 + \tan^2 x

  • D

    sec⁡2x\sec^2 x

Explanation

(cos⁡x⋅cos⁡x−sin⁡x⋅(−sin⁡x))/cos⁡2x=1/cos⁡2x=sec⁡2x=1+tan⁡2x(\cos x \cdot \cos x - \sin x \cdot (-\sin x))/\cos^2 x = 1/\cos^2 x = \sec^2 x = 1 + \tan^2 x.

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode