What is the tangent of f(x)=3xcos(x),\at x=pi ?

The tangent of f(x)=3xcos(x),\at x=pi is y=-3x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tangent of f(x)=3xcos(x),\at x=pi

tangent of

f (x) = 3 x cos (x), at x = π

y = - 3 x

Solution steps

Find the tangent point:

(π, - 3 π)

Find the slope of

f (x) = 3 x cos (x) : \frac{df ( x )}{d x} = 3 (cos (x) - x sin (x))

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 = - 3

Find the line with slope m=

- 3

and passing through

(π, - 3 π) : y = - 3 x

y = - 3 x

\frac{\partial}{\partial x} (x^{2} + 3)

9 y^{^{''}} + 9 y = 0

d er i v a t i v e 3 x^{2} e^{x} + e^{x} (x^{3} + 9)

t an g e n t f (x) = sin (π - x), at x = \frac{π}{6}

\frac{\partial}{\partial y} (x^{2} + y^{2} + 1)

What is the tangent of f(x)=3xcos(x),\at x=pi ?
The tangent of f(x)=3xcos(x),\at x=pi is y=-3x