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Question

If y=f(x3),z=g(x5),f(x)=tanx and g(x)=secx then the value of dydzis

A
35x2tanx3secx5
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B
5x23secx5tanx3
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C
3x25tanx3secx5
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D
None of these
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Solution

The correct option is A 35x2tanx3secx5
y=f(x3),z=g(x5)
dydx=f(x3)×3x2 and dzdx=g(x5)×5x4
dydz=f(x3)g(x5)×351x2
dydz=35x2×f(x3)g(x5)
=35x2tanx3secx5

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