What is the derivative of csecx ?

The derivative of csecx is ec^2s

What is the first derivative of csecx ?

The first derivative of csecx is ec^2s

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\frac{d}{d x} (csec x)

e c^{2} s

Solution steps

\frac{d}{d x} (csec x)

Simplify

csec x : e c^{2} s x

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= e c^{2} s \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= e c^{2} s \cdot 1

Simplify

= e c^{2} s

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