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Single Variable Calculus

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Moderate

Chain Rule with Quotient Rule

SVCALC-6R9WFN

Find the derivative of the function:

$$y=\frac{e^{x^2-1}}{\cos{2x^3}}$$

Select ALL that apply.

A

$\cfrac{2x e^{x^2-1}(\cos(2x^3)+3\sin(2x^3))}{(\cos(2x^3))^2}$

B

$\cfrac{e^{x^2-1}(\cos(2x^3)+\sin(2x^3))}{(\cos(2x^3))^2}$

C

$\cfrac{(\cos(2x^3)+\sin(2x^3))}{(\cos(2x^3))^2}$

D

$\cfrac{2x e^{x^2-1}\cos(2x^3)+e^{x^2-1}\sin(2x^3)6x}{(\cos(2x^3))^2}$