What is the tangent of f(x)=-2cos(x),\at x= pi/4 ?

The tangent of f(x)=-2cos(x),\at x= pi/4 is y=sqrt(2)x-sqrt(2)-pi/(2sqrt(2))

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tangent of f(x)=-2cos(x),\at x= pi/4

tangent of

f (x) = - 2 cos (x), at x = \frac{π}{4}

y = 2 x - 2 - \frac{π}{2 2}

Solution steps

Find the tangent point:

(\frac{π}{4}, - 2)

Find the slope of

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

Find the line with slope m=

2

and passing through

(\frac{π}{4}, - 2) : y = 2 x - 2 - \frac{π}{2 2}

y = 2 x - 2 - \frac{π}{2 2}

What is the tangent of f(x)=-2cos(x),\at x= pi/4 ?
The tangent of f(x)=-2cos(x),\at x= pi/4 is y=sqrt(2)x-sqrt(2)-pi/(2sqrt(2))