What is the tangent of f(-4)=3x+2/x ?

The tangent of f(-4)=3x+2/x is y=(3-2/(a_{0)^2})x+4/(a_{0)}

Popular >

tangent of f(-4)=3x+2/x

tangent of

f (- 4) = 3 x + \frac{2}{x}

y = (3 - \frac{2}{a _{0}^{2}}) x + \frac{4}{a _{0}}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 3 a_{0} + \frac{2}{a _{0}})

Find the slope of

f (- 4) = 3 x + \frac{2}{x} : \frac{df ( - 4 )}{d x} = 3 - \frac{2}{x ^{2}}

Compute the slope of

f (- 4) = 3 x + \frac{2}{x}

x = a_{0} : m = 3 - \frac{2}{a _{0}^{2}}

Find the line with slope m=

3 - \frac{2}{a _{0}^{2}}

and passing through

(a_{0}, 3 a_{0} + \frac{2}{a _{0}}) : y = (3 - \frac{2}{a _{0}^{2}}) x + \frac{4}{a _{0}}

y = (3 - \frac{2}{a _{0}^{2}}) x + \frac{4}{a _{0}}

\int_{4}^{16} \frac{1}{7 - x} d x

\frac{\partial}{\partial x} (z + yz sin (2 x yz))

\int_{- 4}^{- 2} (- x + ∣ - 3 x - 9 ∣) d x

\frac{d y}{d x} = 2 y - y^{2}

\frac{d}{d x} (2 x^{7} - 3 x^{6} + 3 x^{3} - 4 x^{2} - 7)

What is the tangent of f(-4)=3x+2/x ?
The tangent of f(-4)=3x+2/x is y=(3-2/(a_{0)^2})x+4/(a_{0)}