What is the derivative of (sin^2(x)/(cos^2(x))) ?

The derivative of (sin^2(x)/(cos^2(x))) is 2tan(x)sec^2(x)

What is the first derivative of (sin^2(x)/(cos^2(x))) ?

The first derivative of (sin^2(x)/(cos^2(x))) is 2tan(x)sec^2(x)

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\frac{d}{d x} (\frac{sin ^{2} ( x )}{cos ^{2} ( x )})

2 tan (x) sec^{2} (x)

Solution steps

\frac{d}{d x} (\frac{sin ^{2} ( x )}{cos ^{2} ( x )})

Simplify

\frac{sin ^{2} ( x )}{cos ^{2} ( x )} : tan^{2} (x)

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

Apply the chain rule:

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

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

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

= 2 tan (x) sec^{2} (x)

\int x^{a} d x

x \to 3 lim (- x^{2} + 5 x - 2)

\frac{d}{d x} (arcsin (x^{2} + y^{2} - 2))

\int_{0}^{1} s^{2} cos (s^{3}) d s

\frac{d y}{d x}, 2 x y = 9

What is the derivative of (sin^2(x)/(cos^2(x))) ?
The derivative of (sin^2(x)/(cos^2(x))) is 2tan(x)sec^2(x)
What is the first derivative of (sin^2(x)/(cos^2(x))) ?
The first derivative of (sin^2(x)/(cos^2(x))) is 2tan(x)sec^2(x)