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Popular >

derivative of x/(x-3-arcsec(2x))

Solution

\frac{d}{d x} (\frac{x}{x - 3} - arcsec (2 x))

Solution

- \frac{3}{( x - 3 ) ^{2}} - \frac{1}{x 4 x ^{2} - 1}

Solution steps

\frac{d}{d x} (\frac{x}{x - 3} - arcsec (2 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{x}{x - 3}) - \frac{d}{d x} (arcsec (2 x))

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

\frac{d}{d x} (arcsec (2 x)) = \frac{1}{x 4 x ^{2} - 1}

= - \frac{3}{( x - 3 ) ^{2}} - \frac{1}{x 4 x ^{2} - 1}

Graph

Popular Examples

limit as x approaches 0 of x/(tan(x))

x \to 0 lim (\frac{x}{tan ( x )})

25y^{''}-40y^'+16y=0

25 y^{^{''}} - 40 y^{^{'}} + 16 y = 0

integral of cos^2(x)sin^2(x)

\int cos^{2} (x) sin^{2} (x) d x

(2y^2+3xy)+(2xy+x^2)y^'=0

(2 y^{2} + 3 x y) + (2 x y + x^{2}) y^{^{'}} = 0

x^{''}+9x=0,x(0)=0.7,x^'(0)=0.4

x^{^{''}} + 9 x = 0, x (0) = 0.7, x^{^{'}} (0) = 0.4

Frequently Asked Questions (FAQ)

What is the derivative of x/(x-3-arcsec(2x)) ?
The derivative of x/(x-3-arcsec(2x)) is -3/((x-3)^2)-1/(xsqrt(4x^2-1))
What is the first derivative of x/(x-3-arcsec(2x)) ?
The first derivative of x/(x-3-arcsec(2x)) is -3/((x-3)^2)-1/(xsqrt(4x^2-1))