Question

Tangent line

Answer 1

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Answer 2

\[\LARGE y=4e^x~cosx,~~(0,4)\]

Answer 3

to find the tangent line we need "slope" and a "point"

Answer 4

\(slope = \frac{dy}{dx}\)

Answer 5

u already have a point, so... find the slope and you're done

Answer 6

f(x)= 4e^x cos x
f'(x) = 4e^x * - sin(x)
at (0,4) right?
f'(0) = 4e^0 - sin(0)
f'(0) = 4

y - y1 = m(x-x1)
y - 4 = 4(x-0)
y = 4x + 4

Answer 7

Thank you noob :3

Answer 8

yw