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Question
Differentiate the following:
y = 4 sec 5x
Solution
y = 4 sec 5x
[y = f(g(x)
`("d"y)/("d"x)` = f'(g(x)) . g'(x)]
`("d"y)/("d"x) = 4 xx sec 5x xx tan 5x "d"/("d"x) (5x)`
`("d"y)/("d"x)` = 4 sec 5x tan 5x × 5 × 1
`("d"y)/("d"x)` = 20 sec 5x tan 5x
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