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Single Variable Calculus

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Moderate

Quotient Rule with Trig Functions

SVCALC-CFQUVP

Find derivative of the function:

$$y=\frac{\sin(x^2)}{x^2-1}$$

A

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

B

$\cfrac{\cos(x^2)}{2x}$

C

$\cfrac{2x \cos(x^2)}{2x}$

D

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