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

The answer to (\partial)/(\partial x)(y/(cos(x))) is ysec(x)tan(x)

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(\partial)/(\partial x)(y/(cos(x)))

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

y sec (x) tan (x)

Solution steps

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

Simplify

\frac{y}{cos ( x )} : y sec (x)

= \frac{\partial}{\partial x} (y sec (x))

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= y \frac{\partial}{\partial x} (sec (x))

Apply the common derivative:

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

= y sec (x) tan (x)

\frac{d}{d x} (\frac{4}{5} ln ((9 x^{2} - 6)^{7}))

\int_{2}^{4} \frac{( 2 x - 3 )}{6} d x

x \to 2 lim (x^{2} - x)

x \to \infty lim (\frac{7 ^{12} - 2176782336}{7 ^{11}})

\int \frac{x ^{2}}{( 1 - 4 x ^{2} ) ^{\frac{3}{2}}} d x

What is (\partial)/(\partial x)(y/(cos(x))) ?
The answer to (\partial)/(\partial x)(y/(cos(x))) is ysec(x)tan(x)