What is the derivative of sec(sin(x)) ?

The derivative of sec(sin(x)) is sec(sin(x))tan(sin(x))cos(x)

What is the first derivative of sec(sin(x)) ?

The first derivative of sec(sin(x)) is sec(sin(x))tan(sin(x))cos(x)

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\frac{d}{d x} (sec (sin (x)))

sec (sin (x)) tan (sin (x)) cos (x)

Solution steps

\frac{d}{d x} (sec (sin (x)))

Apply the chain rule:

sec (sin (x)) tan (sin (x)) \frac{d}{d x} (sin (x))

= sec (sin (x)) tan (sin (x)) \frac{d}{d x} (sin (x))

\frac{d}{d x} (sin (x)) = cos (x)

= sec (sin (x)) tan (sin (x)) cos (x)

y^{^{''}} + 5 y^{^{'}} - 6 y = 0, y (0) = 2, y^{^{'}} (0) = - 1

\int \frac{8}{x ^{2} - 2 x} d x

x y^{2} d x + e^{x} d y = 0

\frac{2 s}{( s ^{2} + 1 ) ^{2}}

\int sin (\frac{1}{2 x}) d x

What is the derivative of sec(sin(x)) ?
The derivative of sec(sin(x)) is sec(sin(x))tan(sin(x))cos(x)
What is the first derivative of sec(sin(x)) ?
The first derivative of sec(sin(x)) is sec(sin(x))tan(sin(x))cos(x)