What is (\partial)/(\partial x)(e^xsec^2(y)) ?

The answer to (\partial)/(\partial x)(e^xsec^2(y)) is sec^2(y)e^x

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(\partial)/(\partial x)(e^xsec^2(y))

\frac{\partial}{\partial x} (e^{x} sec^{2} (y))

sec^{2} (y) e^{x}

Solution steps

\frac{\partial}{\partial x} (e^{x} sec^{2} (y))

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (e^{x}) = e^{x}

= sec^{2} (y) e^{x}

f (x) = \frac{2 x}{x ^{2} + 9}

\int I n^{2} x d x

f (x) = 4 e^{5 x^{2}} (5 - x)^{7}

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

\int (sin (x^{2})) d x

What is (\partial)/(\partial x)(e^xsec^2(y)) ?
The answer to (\partial)/(\partial x)(e^xsec^2(y)) is sec^2(y)e^x