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Popular >

tangent of 18sqrt(x)-3x

Solution

tangent of

18 x - 3 x

Solution

y = (\frac{9}{a _{0}} - 3) x + 9 a_{0}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 18 a_{0} - 3 a_{0})

Find the slope of

y = 18 x - 3 x : \frac{d y}{d x} = \frac{9}{x} - 3

Compute the slope of

y = 18 x - 3 x

at

x = a_{0} : m = \frac{9}{a _{0}} - 3

Find the line with slope m=

\frac{9}{a _{0}} - 3

and passing through

(a_{0}, 18 a_{0} - 3 a_{0}) : y = (\frac{9}{a _{0}} - 3) x + 9 a_{0}

y = (\frac{9}{a _{0}} - 3) x + 9 a_{0}

Popular Examples

(dy)/(dt)+4y=2e^{-3t}

\frac{d y}{d t} + 4 y = 2 e^{- 3 t}

integral of e^{6x}cos(x)

\int e^{6 x} cos (x) d x

limit as x approaches-3 of sqrt(2x+6)

x \to - 3 lim (2 x + 6)

derivative of x^{52}-1/(x^2)

\frac{d}{d x} (x^{52} - \frac{1}{x ^{2}})

longdivision (x^2-1)/(2x-3)long division

\frac{x ^{2} - 1}{2 x - 3}

Frequently Asked Questions (FAQ)

What is the tangent of 18sqrt(x)-3x ?
The tangent of 18sqrt(x)-3x is y=(9/(sqrt(a_{0))}-3)x+9sqrt(a_{0)}