What is the tangent of f(x)=5cos(x),\at x= pi/6 ?

The tangent of f(x)=5cos(x),\at x= pi/6 is y=-5/2 x+(5sqrt(3))/2+(5pi)/(12)

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tangent of f(x)=5cos(x),\at x= pi/6

tangent of

f (x) = 5 cos (x), at x = \frac{π}{6}

y = - \frac{5}{2} x + \frac{5 3}{2} + \frac{5 π}{12}

Solution steps

Find the tangent point:

(\frac{π}{6}, \frac{5 3}{2})

Find the slope of

f (x) = 5 cos (x) : \frac{df ( x )}{d x} = - 5 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 = - \frac{5}{2}

Find the line with slope m=

- \frac{5}{2}

and passing through

(\frac{π}{6}, \frac{5 3}{2}) : y = - \frac{5}{2} x + \frac{5 3}{2} + \frac{5 π}{12}

y = - \frac{5}{2} x + \frac{5 3}{2} + \frac{5 π}{12}

\int \frac{sin ( 5 x )}{cos ^{2} ( 5 x )} d x

x \to + 10 lim (\frac{8}{( x - 10 ) ^{2}})

f (x) = 4 x^{3} - \frac{2}{x ^{3}}

\frac{d y}{( y ^{2} + 0.6 y )} = \frac{1}{x} d x

\frac{d}{d x} (e^{- x} (x - 1))

What is the tangent of f(x)=5cos(x),\at x= pi/6 ?
The tangent of f(x)=5cos(x),\at x= pi/6 is y=-5/2 x+(5sqrt(3))/2+(5pi)/(12)