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

The derivative of (e^{2x}^{sec(x)}) is e^{2xsec(x)}*2(sec(x)+xsec(x)tan(x))

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

The first derivative of (e^{2x}^{sec(x)}) is e^{2xsec(x)}*2(sec(x)+xsec(x)tan(x))

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

e^{2 x s e c (x)} \cdot 2 (sec (x) + x sec (x) tan (x))

Solution steps

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

Simplify

(e^{2 x})^{s e c (x)} : e^{2 x s e c (x)}

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x sec (x)) = 2 (sec (x) + x sec (x) tan (x))

= e^{2 x s e c (x)} \cdot 2 (sec (x) + x sec (x) tan (x))

f (t) = 2 sin (t)

f (x) = \frac{3 - 2 x}{3 + 2 x}

x^{7 c o s (x)}

x \to 6 lim (2 x + 4)

8 x - 2 x

What is the derivative of (e^{2x}^{sec(x)}) ?
The derivative of (e^{2x}^{sec(x)}) is e^{2xsec(x)}*2(sec(x)+xsec(x)tan(x))
What is the first derivative of (e^{2x}^{sec(x)}) ?
The first derivative of (e^{2x}^{sec(x)}) is e^{2xsec(x)}*2(sec(x)+xsec(x)tan(x))