What is the tangent of f(x)= 7/(sqrt(x)),(1,7) ?

The tangent of f(x)= 7/(sqrt(x)),(1,7) is y=-7/2 x+21/2

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tangent of f(x)= 7/(sqrt(x)),(1,7)

tangent of

f (x) = \frac{7}{x}, (1, 7)

y = - \frac{7}{2} x + \frac{21}{2}

Solution steps

Find the slope of

f (x) = \frac{7}{x} : \frac{df ( x )}{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}{2}

Find the line with slope m=

- \frac{7}{2}

and passing through

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

y = - \frac{7}{2} x + \frac{21}{2}

x \to 0 + lim (x - ln (x))

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

\int_{- π}^{π} sin (x) cos (n x) d x

2 t (\frac{d y}{d t}) + y = 4 t^{2} + 3 t

\int_{2}^{3} \frac{5}{x ^{2} - 1} d x

What is the tangent of f(x)= 7/(sqrt(x)),(1,7) ?
The tangent of f(x)= 7/(sqrt(x)),(1,7) is y=-7/2 x+21/2