Differentiate w.r.t. $x$ :
$y = e^{cos (6 x - 1)}$

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Solution

$y = e^{cos (6 x - 1)}$

Differentiating w.r.t. x, we get,by Chain Rule

$\frac{d y}{d x} = e^{cos (6 x - 1)} \times - sin (6 x - 1) \times 6$

$\frac{d y}{d x} = - 6 sin (6 x - 1) e^{cos (6 x - 1)}$

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