What is the tangent of y= 7/(sqrt(x)),(4, 7/2) ?

The tangent of y= 7/(sqrt(x)),(4, 7/2) is y=-7/16 x+21/4

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tangent of y= 7/(sqrt(x)),(4, 7/2)

tangent of

y = \frac{7}{x}, (4, \frac{7}{2})

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

Solution steps

Find the slope of

y = \frac{7}{x} : \frac{d y}{d x} = - \frac{7}{2 x ^{\frac{3}{2}}}

EN : T i tl e G e n er a l Eq u a t i o n Sl o p e A t P o in t 2 Eq : 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}

What is the tangent of y= 7/(sqrt(x)),(4, 7/2) ?
The tangent of y= 7/(sqrt(x)),(4, 7/2) is y=-7/16 x+21/4