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

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

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

tangent of

f (x) = 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

f (x) = 6 cos (x) : \frac{df ( x )}{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

\int \frac{1}{x ln ^{5} ( x )} d x

x \to 3 lim (\frac{1}{x + 2})

x \to 0 - lim (2 + 3 e^{- \frac{3}{x}})

o f - 5 sin (x)

x \to - 3 lim (\frac{2 - x}{3 - x})

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