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

The derivative of x*sec(x) is sec(x)+xsec(x)tan(x)

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

The first derivative of x*sec(x) is sec(x)+xsec(x)tan(x)

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derivative of

x \cdot sec (x)

sec (x) + x sec (x) tan (x)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sec (x)

= \frac{d x}{d x} sec (x) + \frac{d}{d x} (sec (x)) x

\frac{d x}{d x} = 1

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

= 1 \cdot sec (x) + sec (x) tan (x) x

Simplify

= sec (x) + x sec (x) tan (x)

n = 0 \sum \infty 4 + (- 1)^{n}

\int_{0}^{\infty} e^{- x - y} d x

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

\int e^{3 x} (2 x^{2} + 1) d x

x^{2} - 4

What is the derivative of x*sec(x) ?
The derivative of x*sec(x) is sec(x)+xsec(x)tan(x)
What is the first derivative of x*sec(x) ?
The first derivative of x*sec(x) is sec(x)+xsec(x)tan(x)