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y=tan^(-1)((5-x)/(6x^(2)-5x-3)) find dy/...

y=`tan^(-1)((5-x)/(6x^(2)-5x-3))` find dy/dx

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To find the derivative of the function \( y = \tan^{-1}\left(\frac{5-x}{6x^2 - 5x - 3}\right) \), we will use the chain rule and the quotient rule. Here’s a step-by-step solution: ### Step 1: Rewrite the Function We start with the function: \[ y = \tan^{-1}\left(\frac{5-x}{6x^2 - 5x - 3}\right) \] ...
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