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Question
Find the second order derivatives of the following function x3 + tan x ?
Solution
We have,
\[y = x^3 + \tan x\]
\[\text { Differentiating w . r . t . x, we get }\]
\[\frac{dy}{dx} = 3 x^2 + \sec^2 x\]
\[\text { Differentiating again w . r . t . x, we get }\]
\[\frac{d^2 y}{d x^2} = 6x + 2 \sec^2 x \tan x\]
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