What is the derivative of tan^2(xθ) ?

The derivative of tan^2(xθ) is 2tan(xθ)sec^2(xθ)θ

What is the first derivative of tan^2(xθ) ?

The first derivative of tan^2(xθ) is 2tan(xθ)sec^2(xθ)θ

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\frac{d}{d x} (tan^{2} (x θ))

2 tan (x θ) sec^{2} (x θ) θ

Solution steps

\frac{d}{d x} (tan^{2} (x θ))

Treat

θ

as a constant

Apply the chain rule:

2 tan (x θ) \frac{d}{d x} (tan (x θ))

= 2 tan (x θ) \frac{d}{d x} (tan (x θ))

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

= 2 tan (x θ) sec^{2} (x θ) θ

\int_{1}^{e^{5}} \frac{5}{x} d x

f (x) = 1 + 4 - x, at x = 2

x \to \infty lim ((x) 3)

cos (2 x), 0

\frac{\partial}{\partial t} (r cos (t) sin (s))

What is the derivative of tan^2(xθ) ?
The derivative of tan^2(xθ) is 2tan(xθ)sec^2(xθ)θ
What is the first derivative of tan^2(xθ) ?
The first derivative of tan^2(xθ) is 2tan(xθ)sec^2(xθ)θ