What is the tangent of f(x)=5e^xcos(x),(0,5) ?

The tangent of f(x)=5e^xcos(x),(0,5) is y=5x+5

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tangent of f(x)=5e^xcos(x),(0,5)

tangent of

f (x) = 5 e^{x} cos (x), (0, 5)

y = 5 x + 5

Solution steps

Find the slope of

f (x) = 5 e^{x} cos (x) : \frac{df ( x )}{d x} = 5 (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 = 5

Find the line with slope m=

5

and passing through

(0, 5) : y = 5 x + 5

y = 5 x + 5

\int_{0}^{2} y^{\frac{7}{2}} d y

\frac{d}{d x} (\frac{5 x}{x})

f (t) = t e^{2 t}

\int - x^{2} - 3 x d x

f (x) = 4 x^{\frac{5}{4}} + 10 x^{\frac{3}{2}} + 3 x

What is the tangent of f(x)=5e^xcos(x),(0,5) ?
The tangent of f(x)=5e^xcos(x),(0,5) is y=5x+5