If y = tan x, what is d^2y/dx^2?

Derivatives & Second-Order Derivatives · Question 74 of 96

Question 74

MediumOriginal question

If $y = \tan x$ , what is $\frac{d^2y}{dx^2}$ ?

\sec^{2} x

Correct answerYour answer

2 \tan x \sec x

Correct answerYour answer

2 \tan x \sec^{2} x

Correct answerYour answer

2 \sec^{2} x

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Worth noting

$2\sec x\tan x$ differentiates the square but forgets to multiply by $\sec x$ once more, from $\frac{d}{dx}\sec x = \sec x\tan x$ .

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.

Ten questions from Derivatives & Second-Order Derivatives, at your own pace.