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

The derivative of e^{2tan(sqrt(x)}) is (e^{2tan(sqrt(x))}sec^2(sqrt(x)))/(sqrt(x))

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

The first derivative of e^{2tan(sqrt(x)}) is (e^{2tan(sqrt(x))}sec^2(sqrt(x)))/(sqrt(x))

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\frac{d}{d x} (e^{2 t a n (x)})

\frac{e ^{2 t a n (x)} sec ^{2} ( x )}{x}

Solution steps

\frac{d}{d x} (e^{2 t a n (x)})

Apply the chain rule:

e^{2 t a n (x)} \frac{d}{d x} (2 tan (x))

= e^{2 t a n (x)} \frac{d}{d x} (2 tan (x))

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

= e^{2 t a n (x)} \frac{sec ^{2} ( x )}{x}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{e ^{2 t a n (x)} sec ^{2} ( x )}{x}

1 + t

\int (2 x + 3) e^{2 x} d x

\frac{d}{d t} (e^{2 t} cos (4 t))

f (x) = (x^{4}) x^{2} + 2

\int \frac{48 x}{( x + 1 ) ^{2} ( 3 x + 1 )} d x

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