What is the tangent of y=4xcos(x),\at x=pi ?

The tangent of y=4xcos(x),\at x=pi is y=-4x

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tangent of y=4xcos(x),\at x=pi

tangent of

y = 4 x cos (x), at x = π

y = - 4 x

Solution steps

Find the tangent point:

(π, - 4 π)

Find the slope of

y = 4 x cos (x) : \frac{d y}{d x} = 4 (cos (x) - x sin (x))

Compute the slope of

y = 4 x cos (x)

x = π : m = - 4

Find the line with slope m=

- 4

and passing through

(π, - 4 π) : y = - 4 x

y = - 4 x

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

(2.1) (8.7)

\frac{\partial}{\partial x} (sin (3 x - 2 y))

\frac{d}{d x} (ln (x^{2} - x))

y = - 3 cos (x), at x = \frac{- π}{3}

What is the tangent of y=4xcos(x),\at x=pi ?
The tangent of y=4xcos(x),\at x=pi is y=-4x