What is the derivative of ecos(x) ?

The derivative of ecos(x) is -esin(x)

What is the first derivative of ecos(x) ?

The first derivative of ecos(x) is -esin(x)

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\frac{d}{d x} (e cos (x))

- e sin (x)

Solution steps

\frac{d}{d x} (e cos (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= e \frac{d}{d x} (cos (x))

Apply the common derivative:

\frac{d}{d x} (cos (x)) = - sin (x)

= e (- sin (x))

Simplify

= - e sin (x)

\int e^{t} cos (e^{t}) d t

f (x) = - 5

y^{^{'}} = (x - 5) e^{- 2 y}, y (5) = ln (5)

y^{^{''}} - 12 y^{^{'}} + 36 y = 2 t e^{6 t}

t ln (t) \frac{d r}{d t} + r = 9 t e^{t}

What is the derivative of ecos(x) ?
The derivative of ecos(x) is -esin(x)
What is the first derivative of ecos(x) ?
The first derivative of ecos(x) is -esin(x)