If $$y=\arcsin (-4 x)$$, find $$\frac{d y}{d x}$$ at $$x=-\frac{1}{6}$$


<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>If $$y=\arcsin (-4 x)$$, find $$\frac{d y}{d x}$$ at $$x=-\frac{1}{6}$$
</textarea>If <math><semantics><mrow><mi>y</mi><mo>=</mo><mi>arcsin</mi><mo>(</mo><mo>−</mo><mn>4</mn><mi>x</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">y=\arcsin (-4 x)</annotation></semantics></math>y=arcsin(−4x), find <math><semantics><mrow><mfrac><mrow><mi>d</mi><mi>y</mi></mrow><mrow><mi>d</mi><mi>x</mi></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{d y}{d x}</annotation></semantics></math>​dx​​dy​​ at <math><semantics><mrow><mi>x</mi><mo>=</mo><mo>−</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>6</mn></mrow></mfrac></mrow><annotation encoding="application/x-tex">x=-\frac{1}{6}</annotation></semantics></math>x=−​6​​1​​
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