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

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

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

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

sec (y)

Solution steps

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

Simplify

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

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= sec (y) \cdot 1

Simplify

= sec (y)

y^{^{'}} = x^{2} - 6 x + 14

\frac{d y}{d x} + 3 y = 4

y^{^{'}} = \frac{x + 1}{y}

x \to \infty lim (3 x + \frac{1}{x})

\int \frac{2 x - 1}{x ^{3} - 6 x ^{2} + 11 x - 6} d x

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