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If y=(sinx)^(tanx)+(cosx)^(secx) , find ...

If `y=(sinx)^(tanx)+(cosx)^(secx)` , find `(dy)/(dx)`

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To find the derivative of the function \( y = (\sin x)^{\tan x} + (\cos x)^{\sec x} \), we will follow these steps: ### Step 1: Rewrite the function using logarithms We can express the terms in a more manageable form using the property of logarithms and exponentials: \[ y = (\sin x)^{\tan x} + (\cos x)^{\sec x} \] Using the property \( a^b = e^{b \ln a} \), we rewrite \( y \): ...
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