Question #1946

Differentiate the function.

y= e^(k tan(sqrt(7 x)))

y'(x) =

y= e^(k tan(sqrt(7 x)))

y'(x) =

Expert's answer

y= e^{k tan(sqrt(7 x))}

y'(x) = k (tan(sqrt(7 x))' e^{k tan(sqrt(7 x))} = 7k/2* cos^{-2}(sqrt(7 x))*1/sqrt(7 x)*e^{k tan(sqrt(7 x))}

y'(x) = k (tan(sqrt(7 x))' e

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