What is the tangent of f(x)= 7/(sqrt(x)),\at x=4 ?

The tangent of f(x)= 7/(sqrt(x)),\at x=4 is y=-7/16 x+21/4

Popular >

tangent of f(x)= 7/(sqrt(x)),\at x=4

tangent of

f (x) = \frac{7}{x}, at x = 4

y = - \frac{7}{16} x + \frac{21}{4}

Solution steps

Find the tangent point:

(4, \frac{7}{2})

Find the slope of

f (x) = \frac{7}{x} : \frac{df ( x )}{d x} = - \frac{7}{2 x ^{\frac{3}{2}}}

Compute the slope of

f (x) = \frac{7}{x}

x = 4 : m = - \frac{7}{16}

Find the line with slope m=

- \frac{7}{16}

and passing through

(4, \frac{7}{2}) : y = - \frac{7}{16} x + \frac{21}{4}

y = - \frac{7}{16} x + \frac{21}{4}

\frac{\partial}{\partial x} (11238 x^{- 0.852})

\frac{5}{2 ( s + 2 ) ^{2} + 8}

f (x) = 2 x^{3} + 4 x^{2} - 5 x - 3, at x = - 1

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

\int_{- \infty}^{\infty} 1 d x

What is the tangent of f(x)= 7/(sqrt(x)),\at x=4 ?
The tangent of f(x)= 7/(sqrt(x)),\at x=4 is y=-7/16 x+21/4