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

The derivative of sin(xsec(x)) is sec^2(x)

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

The first derivative of sin(xsec(x)) is sec^2(x)

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

sec^{2} (x)

Solution steps

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

Simplify

sin (x) sec (x) : tan (x)

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

Apply the common derivative:

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= sec^{2} (x)

\int_{- 2}^{2} 2 d x

y = 3 x^{2} sin (x)

2 y^{^{''}} + 3 y^{^{'}} - 2 y = 25 e^{- 2 t}

\int \frac{5}{9 + 4 r ^{2}} d r

\frac{d}{d x} (e^{k x})

What is the derivative of sin(xsec(x)) ?
The derivative of sin(xsec(x)) is sec^2(x)
What is the first derivative of sin(xsec(x)) ?
The first derivative of sin(xsec(x)) is sec^2(x)