What is the tangent of f(x)=3cot^4(x),\at x= pi/4 ?

The tangent of f(x)=3cot^4(x),\at x= pi/4 is y=-24x+3+6pi

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tangent of f(x)=3cot^4(x),\at x= pi/4

tangent of

f (x) = 3 cot^{4} (x), at x = \frac{π}{4}

y = - 24 x + 3 + 6 π

Solution steps

Find the tangent point:

(\frac{π}{4}, 3)

Find the slope of

f (x) = 3 cot^{4} (x) : \frac{df ( x )}{d x} = - 12 cot^{3} (x) csc^{2} (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 = - 24

Find the line with slope m=

- 24

and passing through

(\frac{π}{4}, 3) : y = - 24 x + 3 + 6 π

y = - 24 x + 3 + 6 π

What is the tangent of f(x)=3cot^4(x),\at x= pi/4 ?
The tangent of f(x)=3cot^4(x),\at x= pi/4 is y=-24x+3+6pi