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Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability2 Marks
Question
Find $\frac{d^{2} y}{d x^{2}}$, if y = x3 + tan x.
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Answer

Given that y = x3 + tan x. Then
$\frac{d y}{d x}$=3x2 + sec2 x
$\therefore$ $\frac{d^{2} y}{d x^{2}}=\frac{d}{d x}\left(3 x^{2}+\sec ^{2} x\right)$
= 6x + 2 sec x. sec x tan x
= 6x + 2 sec2 x tan x

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