What is the tangent of f(x)=4e^xcos(x),(0,4) ?

The tangent of f(x)=4e^xcos(x),(0,4) is y=4x+4

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tangent of f(x)=4e^xcos(x),(0,4)

tangent of

f (x) = 4 e^{x} cos (x), (0, 4)

y = 4 x + 4

Solution steps

Find the slope of

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

Compute the slope of

f (x) = 4 e^{x} cos (x)

(0, 4) : m = 4

Find the line with slope m=

4

and passing through

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

y = 4 x + 4

(2 x - 3) e^{3 x}

\int sec (a) x tan (a) x d x

\frac{d y}{d x} + 2 y = e^{3 x} y^{2}

\int \frac{1}{1 + 1 - x ^{2}} d x

What is the tangent of f(x)=4e^xcos(x),(0,4) ?
The tangent of f(x)=4e^xcos(x),(0,4) is y=4x+4