Question

(e) Show that $y'$ of the function $y = \sin(e^{\sqrt{2x}}x^{5a})$ can be expressed in the respective forms. $y' = \cos(e^{\sqrt{2x}}x^{5a}) \left[ \frac{x^{5a}e^{\sqrt{2x}}}{\sqrt{2x}}(5\sqrt{2x}ax^{-1} + 1) \right]$ (4 marks)

          (e) Show that $y'$ of the function $y = \sin(e^{\sqrt{2x}}x^{5a})$ can be expressed in the respective forms.
$y' = \cos(e^{\sqrt{2x}}x^{5a}) \left[ \frac{x^{5a}e^{\sqrt{2x}}}{\sqrt{2x}}(5\sqrt{2x}ax^{-1} + 1) \right]$ (4 marks)

(e) Show that y' of the function y = sin(e^√(2x)x^5a) can be expressed in the respective forms.
y' = cos(e^√(2x)x^5a) [ (x^5ae^√(2x))/(√(2x))(5√(2x)ax^-1 + 1) ] (4 marks)

Added by Claudia L.

Calculus Early Transcendentals

Howard Anton, Irl Bivens, Stephen Davis 9th Edition

Chapter 2

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Solved by Expert Jiva Y

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Step 1: Start with the given function y = sin(e^(âˆšx)). Show more…

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Show that the function y = sin(e^(âˆšx)) can be expressed in the respective forms y = cos(e^(2âˆš5x)).

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Question

(e) Show that $y'$ of the function $y = \sin(e^{\sqrt{2x}}x^{5a})$ can be expressed in the respective forms. $y' = \cos(e^{\sqrt{2x}}x^{5a}) \left[ \frac{x^{5a}e^{\sqrt{2x}}}{\sqrt{2x}}(5\sqrt{2x}ax^{-1} + 1) \right]$ (4 marks)

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