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Popular >

derivative of arcsec(x+3)

Solution

\frac{d}{d x} (arcsec (x + 3))

Solution

\frac{1}{( x + 3 ) x ^{2} + 6 x + 8}

Solution steps

\frac{d}{d x} (arcsec (x + 3))

Apply the chain rule:

\frac{1}{( x + 3 ) ^{2} ( x + 3 ) ^{2} - 1} \frac{d}{d x} (x + 3)

= \frac{1}{( x + 3 ) ^{2} ( x + 3 ) ^{2} - 1} \frac{d}{d x} (x + 3)

\frac{d}{d x} (x + 3) = 1

= \frac{1}{( x + 3 ) ^{2} ( x + 3 ) ^{2} - 1} \cdot 1

Simplify

\frac{1}{( x + 3 ) ^{2} ( x + 3 ) ^{2} - 1} \cdot 1 : \frac{1}{( x + 3 ) x ^{2} + 6 x + 8}

= \frac{1}{( x + 3 ) x ^{2} + 6 x + 8}

Graph

Popular Examples

integral of 2sin^3(3xco)s^33x

\int 2 sin^{3} (3 x co) s^{3} 3 x d x

integral of x^4e^{-x}

\int x^{4} e^{- x} d x

(\partial)/(\partial t)(-t)

\frac{\partial}{\partial t} (- t)

tangent of f(x)=sqrt(1-x),\at x=0 tangent of

f (x) = 1 - x, at x = 0

limit as x approaches 0 of 5

x \to 0 lim (5)

Frequently Asked Questions (FAQ)

What is the derivative of arcsec(x+3) ?
The derivative of arcsec(x+3) is 1/((x+3)sqrt(x^2+6x+8))
What is the first derivative of arcsec(x+3) ?
The first derivative of arcsec(x+3) is 1/((x+3)sqrt(x^2+6x+8))