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Popular >

derivative of sqrt(2sec(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 2 sec ( x )} \cdot 2 sec (x) tan (x) : \frac{tan ( x ) sec ( x )}{2}

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

Graph

Popular Examples

derivative of y=1+e^{-2x^2+8x-7}derivative of

y = 1 + e^{- 2 x^{2} + 8 x - 7}

limit as x approaches 0 of-(1/(x^2))

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

y^{^{'}} = 9 t y^{2}

limit as x approaches-4-of (|x+4|)/(x+4)

x \to - 4 - lim (\frac{∣ x + 4 ∣}{x + 4})

y^{^{''}} + 23 y = 0

Frequently Asked Questions (FAQ)

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