What is the tangent of f(x)=3ln(x^5),\at (15)/e ?

The tangent of f(x)=3ln(x^5),\at (15)/e is y=(15)/(a_{0)}x+15ln(a_{0})-15

Popular >

tangent of f(x)=3ln(x^5),\at (15)/e

tangent of

f (x) = 3 ln (x^{5}), at \frac{15}{e}

y = \frac{15}{a _{0}} x + 15 ln (a_{0}) - 15

Solution steps

Compute the tangent line to the general point

x = a_{0}

Find the tangent point:

(a_{0}, 15 ln (a_{0}))

Find the slope of

f (x) = 3 ln (x^{5}) : \frac{df ( x )}{d x} = \frac{15}{x}

Compute the slope of

f (x) = 3 ln (x^{5})

x = a_{0} : m = \frac{15}{a _{0}}

Find the line with slope m=

\frac{15}{a _{0}}

and passing through

(a_{0}, 15 ln (a_{0})) : y = \frac{15}{a _{0}} x + 15 ln (a_{0}) - 15

y = \frac{15}{a _{0}} x + 15 ln (a_{0}) - 15

\int x^{2} + \frac{1}{x ^{2}} d x

\int (x + 1) sin (5 x) d x

\frac{d y}{d x} = \frac{cos ( 20 x )}{e ^{20 y}}, y (0) = 2

\int x^{2} cos (d) x d x

\int \frac{cot ( \frac{x}{2} )}{sin ( x )} d x

What is the tangent of f(x)=3ln(x^5),\at (15)/e ?
The tangent of f(x)=3ln(x^5),\at (15)/e is y=(15)/(a_{0)}x+15ln(a_{0})-15