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Question

If y=∣ ∣sinxcosxsinxcosxsinxxx11∣ ∣,find dydx at x=0

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Solution

y=∣ ∣sinxcosxsinxcosxsinxxx11∣ ∣
dydx=∣ ∣cosxsinxcosxcosxsinxxx11∣ ∣+∣ ∣sinxcosxsinxsinxcosx1x11∣ ∣+∣ ∣sinxcosxsinxcosxsinxx100∣ ∣
at x=0
dydx=∣ ∣101100011∣ ∣+∣ ∣010011011∣ ∣+∣ ∣010100100∣ ∣
dydx=1 at x=0.

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