What is the tangent of f(x)=e^{4x}cos(pix),\at x=0 ?

The tangent of f(x)=e^{4x}cos(pix),\at x=0 is y=4x+1

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tangent of f(x)=e^{4x}cos(pix),\at x=0

tangent of

f (x) = e^{4 x} cos (π x), at x = 0

y = 4 x + 1

Solution steps

Find the tangent point:

(0, 1)

Find the slope of

f (x) = e^{4 x} cos (π x) : \frac{df ( x )}{d x} = 4 e^{4 x} cos (π x) - π e^{4 x} sin (π 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 = 4

Find the line with slope m=

4

and passing through

(0, 1) : y = 4 x + 1

y = 4 x + 1

What is the tangent of f(x)=e^{4x}cos(pix),\at x=0 ?
The tangent of f(x)=e^{4x}cos(pix),\at x=0 is y=4x+1