What is the tangent of xsqrt(x)(9.27) ?

The tangent of xsqrt(x)(9.27) is y=13.905sqrt(a_{0)}x-(927a_{0}sqrt(a_{0)})/(200)

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tangent of xsqrt(x)(9.27)

tangent of

x x (9.27)

y = 13.905 a_{0} x - \frac{927 a _{0} a _{0}}{200}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, a_{0} a_{0} \cdot 9.27)

Find the slope of

y = x x 9.27 : \frac{d y}{d x} = 13.905 x

Compute the slope of

y = x x 9.27

x = a_{0} : m = 13.905 a_{0}

Find the line with slope m=

13.905 a_{0}

and passing through

(a_{0}, a_{0} a_{0} 9.27) : y = 13.905 a_{0} x - \frac{927 a _{0} a _{0}}{200}

y = 13.905 a_{0} x - \frac{927 a _{0} a _{0}}{200}

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

\int \frac{( 3 x + 4 )}{x + 3} d x

\frac{\partial}{\partial y} (\frac{( x - y )}{x})

y^{'} = y^{3} - y

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

What is the tangent of xsqrt(x)(9.27) ?
The tangent of xsqrt(x)(9.27) is y=13.905sqrt(a_{0)}x-(927a_{0}sqrt(a_{0)})/(200)