What is the derivative of cot(e^{2x}) ?

The derivative of cot(e^{2x}) is -csc^2(e^{2x})e^{2x}*2

What is the first derivative of cot(e^{2x}) ?

The first derivative of cot(e^{2x}) is -csc^2(e^{2x})e^{2x}*2

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\frac{d}{d x} (cot (e^{2 x}))

- csc^{2} (e^{2 x}) e^{2 x} \cdot 2

Solution steps

\frac{d}{d x} (cot (e^{2 x}))

Apply the chain rule:

- csc^{2} (e^{2 x}) \frac{d}{d x} (e^{2 x})

= - csc^{2} (e^{2 x}) \frac{d}{d x} (e^{2 x})

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

= - csc^{2} (e^{2 x}) e^{2 x} \cdot 2

y^{^{''}} - 6 y^{^{'}} = 0

x \to 2 lim (3 x^{3} - 7 x^{2} + 3)

- 9 x^{2} y + \frac{d y}{d x} = - 2 x^{2}

\frac{( 2 x + 1 )}{x - 4}

\frac{d}{d x} (cos^{3} (1 - 5 x^{2}))

What is the derivative of cot(e^{2x}) ?
The derivative of cot(e^{2x}) is -csc^2(e^{2x})e^{2x}*2
What is the first derivative of cot(e^{2x}) ?
The first derivative of cot(e^{2x}) is -csc^2(e^{2x})e^{2x}*2