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

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

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

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

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

sec^{2} (x)

Solution steps

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

Simplify

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

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

Apply the common derivative:

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

= sec^{2} (x)

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

f (x) = 2 (13 - x^{4})

\int_{1}^{8} \frac{1}{x 16 x ^{2} - 9} d x

x \to 6 lim (cos (\frac{1}{x - 6}))

\int cos (x) sec^{3} (x) d x

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