What is the tangent of sqrt(x+4) ?

The tangent of sqrt(x+4) is y= 1/(2sqrt(a_{0)+4)}x+sqrt(a_{0)+4}-(a_{0})/(2sqrt(a_{0)+4)}

Popular >

tangent of sqrt(x+4)

tangent of

x + 4

y = \frac{1}{2 a _{0} + 4} x + a_{0} + 4 - \frac{a _{0}}{2 a _{0} + 4}

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, a_{0} + 4)

Find the slope of

y = x + 4 : \frac{d y}{d x} = \frac{1}{2 x + 4}

Compute the slope of

y = x + 4

x = a_{0} : m = \frac{1}{2 a _{0} + 4}

Find the line with slope m=

\frac{1}{2 a _{0} + 4}

and passing through

(a_{0}, a_{0} + 4) : y = \frac{1}{2 a _{0} + 4} x + a_{0} + 4 - \frac{a _{0}}{2 a _{0} + 4}

y = \frac{1}{2 a _{0} + 4} x + a_{0} + 4 - \frac{a _{0}}{2 a _{0} + 4}

y^{'} = 0.0019 y (900 - y)

f (x) = x^{x}, at x = 1

\frac{\partial}{\partial s} (s e^{t})

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

\frac{\partial}{\partial x} (3 x^{3} y^{2})

What is the tangent of sqrt(x+4) ?
The tangent of sqrt(x+4) is y= 1/(2sqrt(a_{0)+4)}x+sqrt(a_{0)+4}-(a_{0})/(2sqrt(a_{0)+4)}