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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
The derivative of F[f{ϕ(x)}]F\left[ {f\left\{ {\phi \left( x \right)} \right\}} \right] is
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Correct option: D
F′[f{ϕ(x)}]f′{ϕ(x)}ϕ′(x)F'\left[ {f\left\{ {\phi \left( x \right)} \right\}} \right]f'\left\{ {\phi \left( x \right)} \right\}\phi '\left( x \right)
Option D (F′[f{ϕ(x)}]f′{ϕ(x)}ϕ′(x)F'\left[ {f\left\{ {\phi \left( x \right)} \right\}} \right]f'\left\{ {\phi \left( x \right)} \right\}\phi '\left( x \right)) is correct because it correctly applies the chain rule multiple times.

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