What is the tangent of y=3e^xcos(x),(0,3) ?

The tangent of y=3e^xcos(x),(0,3) is y=3x+3

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tangent of y=3e^xcos(x),(0,3)

tangent of

y = 3 e^{x} cos (x), (0, 3)

y = 3 x + 3

Solution steps

Find the slope of

y = 3 e^{x} cos (x) : \frac{d y}{d x} = 3 (e^{x} cos (x) - e^{x} 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 = 3

Find the line with slope m=

3

and passing through

(0, 3) : y = 3 x + 3

y = 3 x + 3

What is the tangent of y=3e^xcos(x),(0,3) ?
The tangent of y=3e^xcos(x),(0,3) is y=3x+3