What is the tangent of f(x)=4sqrt(x),(6,9.798) ?

The tangent of f(x)=4sqrt(x),(6,9.798) is y=0.81413…x+4.91317… \lor y=0.81886…x+4.88482…

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tangent of f(x)=4sqrt(x),(6,9.798)

tangent of

f (x) = 4 x, (6, 9.798)

y = 0.81413 \dots x + 4.91317 \dots or y = 0.81886 \dots x + 4.88482 \dots

Solution steps

Slope of the tangent line at

(6, 9.798) : m = \frac{4 x - 9.798}{x - 6}

Find the slope of

f (x) = 4 x : m = \frac{2}{x}

Solve

\frac{2}{x} = \frac{4 x - 9.798}{x - 6} : x = \frac{48.000804 + 0.07718 \dots}{8}, x = \frac{48.000804 - 0.07718 \dots}{8}

Find the tangent line at

x = \frac{48.000804 + 0.07718 \dots}{8} : y = 0.81413 \dots x + 4.91317 \dots

Find the tangent line at

x = \frac{48.000804 - 0.07718 \dots}{8} : y = 0.81886 \dots x + 4.88482 \dots

y = 0.81413 \dots x + 4.91317 \dots or y = 0.81886 \dots x + 4.88482 \dots

\int \frac{x ^{3}}{x ^{2} + 49} d x

\frac{d}{d x} (\frac{x ^{4}}{ln ( x )})

\int (\frac{1}{2} x) d x

e^{- h} + e^{h}

20 (1 + e^{10 - t})^{- 1}

What is the tangent of f(x)=4sqrt(x),(6,9.798) ?
The tangent of f(x)=4sqrt(x),(6,9.798) is y=0.81413…x+4.91317… \lor y=0.81886…x+4.88482…