What is (\partial)/(\partial x)((sin(x))/(cos(x))) ?

The answer to (\partial)/(\partial x)((sin(x))/(cos(x))) is sec^2(x)

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(\partial)/(\partial x)((sin(x))/(cos(x)))

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

sec^{2} (x)

Solution steps

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

Simplify

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

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

Apply the common derivative:

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

= sec^{2} (x)

\frac{d}{d x} (\frac{x ^{2}}{arctan ( x )})

y = ln (sec (5 x) + tan (5 x))

\frac{d}{d x} (\frac{1}{x ^{5}} + e^{x})

\int \frac{1}{x ( 1 - x )} d x

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

What is (\partial)/(\partial x)((sin(x))/(cos(x))) ?
The answer to (\partial)/(\partial x)((sin(x))/(cos(x))) is sec^2(x)