What is the derivative of f(x)=sqrt(x)sec(x) ?

The derivative of f(x)=sqrt(x)sec(x) is (sec(x))/(2sqrt(x))+sqrt(x)sec(x)tan(x)

What is the first derivative of f(x)=sqrt(x)sec(x) ?

The first derivative of f(x)=sqrt(x)sec(x) is (sec(x))/(2sqrt(x))+sqrt(x)sec(x)tan(x)

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derivative of

f (x) = x sec (x)

\frac{sec ( x )}{2 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}{d x} (x) sec (x) + \frac{d}{d x} (sec (x)) x

\frac{d}{d x} (x) = \frac{1}{2 x}

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

= \frac{1}{2 x} sec (x) + sec (x) tan (x) x

\frac{1}{2 x} sec (x) = \frac{sec ( x )}{2 x}

= \frac{sec ( x )}{2 x} + x sec (x) tan (x)

\frac{d}{d x} (x^{2} x - 4)

cos (x)

x \to 0 lim (x^{2} - sin (\frac{1}{x}))

y = x^{3} (2 x + 3)^{7}

3 x, \frac{3}{x}, x = 3

What is the derivative of f(x)=sqrt(x)sec(x) ?
The derivative of f(x)=sqrt(x)sec(x) is (sec(x))/(2sqrt(x))+sqrt(x)sec(x)tan(x)
What is the first derivative of f(x)=sqrt(x)sec(x) ?
The first derivative of f(x)=sqrt(x)sec(x) is (sec(x))/(2sqrt(x))+sqrt(x)sec(x)tan(x)