What is the tangent of 6cos(x),\at x= pi/3 ?

The tangent of 6cos(x),\at x= pi/3 is y=-3sqrt(3)x+3+sqrt(3)pi

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tangent of 6cos(x),\at x= pi/3

tangent of

6 cos (x), at x = \frac{π}{3}

y = - 33 x + 3 + 3 π

Solution steps

Find the tangent point:

(\frac{π}{3}, 3)

Find the slope of

y = 6 cos (x) : \frac{d y}{d x} = - 6 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 = - 33

Find the line with slope m=

- 33

and passing through

(\frac{π}{3}, 3) : y = - 33 x + 3 + 3 π

y = - 33 x + 3 + 3 π

\frac{d}{d x} (cot (4 x^{2}))

\int_{5}^{\infty} \frac{ln ( x )}{x} d x

\int \frac{1}{5 x + 3} d x

\int \frac{1}{100 - y} d y

\frac{\partial}{\partial x} (e^{x - 2} - \frac{y}{2})

What is the tangent of 6cos(x),\at x= pi/3 ?
The tangent of 6cos(x),\at x= pi/3 is y=-3sqrt(3)x+3+sqrt(3)pi