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

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

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tangent of y=3x+6cos(x),(pi/3 ,pi+3)

tangent of

y = 3 x + 6 cos (x), (\frac{π}{3}, π + 3)

y = (3 - 33) x + 3 π + 3

Solution steps

Find the slope of

y = 3 x + 6 cos (x) : \frac{d y}{d x} = 3 - 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 = 3 - 33

Find the line with slope m=

3 - 33

and passing through

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

y = (3 - 33) x + 3 π + 3

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