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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derivative of

\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)

x \to 4 + lim (2 x - 7)

x + \frac{1}{x ^{3}}

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

\int \frac{1}{( u + 1 ) ^{2}} d u

x^{2} y^{^{'}} = 1 - x^{2} + y^{2} - x^{2} y^{2}

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)