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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{\partial}{\partial x} (x + 9 y + 8 z)

\frac{d}{d x} (\frac{7}{3 x ^{7} - 12 x ^{6} + 2 x ^{2} - 9})

y = \frac{1}{x + 2}, at x = 7

x \to 8 lim (9 x + ∣ x - 8 ∣)

w^{3} ln (3 w)

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