What is the tangent of f(x)=5x^9x^6,\at x=2 ?

The tangent of f(x)=5x^9x^6,\at x=2 is y=1228800x-2293760

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tangent of f(x)=5x^9x^6,\at x=2

tangent of

f (x) = 5 x^{9} x^{6}, at x = 2

y = 1228800 x - 2293760

Solution steps

Find the tangent point:

(2, 163840)

Find the slope of

f (x) = 5 x^{9} x^{6} : \frac{df ( x )}{d x} = 75 x^{14}

Compute the slope of

f (x) = 5 x^{9} x^{6}

x = 2 : m = 1228800

Find the line with slope m=

1228800

and passing through

(2, 163840) : y = 1228800 x - 2293760

y = 1228800 x - 2293760

y^{^{'}} = \frac{y ^{4} - 3}{4 x y ^{3}}

f (x) = x^{\frac{3}{5}}

\frac{x ^{2} - a ^{2}}{x - a}

y = x^{6 x}

x \to 0 lim (∣ x ∣^{∣ x ∣})

What is the tangent of f(x)=5x^9x^6,\at x=2 ?
The tangent of f(x)=5x^9x^6,\at x=2 is y=1228800x-2293760