What is (\partial)/(\partial x)(sec^2(x)) ?

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

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(\partial)/(\partial x)(sec^2(x))

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

2 sec^{2} (x) tan (x)

Solution steps

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

Apply the chain rule:

2 sec (x) \frac{\partial}{\partial x} (sec (x))

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

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

= 2 sec (x) sec (x) tan (x)

Simplify

2 sec (x) sec (x) tan (x) : 2 sec^{2} (x) tan (x)

= 2 sec^{2} (x) tan (x)

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

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

\frac{d}{d x} (f (x) (- x))

20 x^{\frac{7}{5}} - 6 x^{\frac{2}{13}}

\int 2 e^{- 2 t} d t

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