What is the derivative of 2sin(x)+ce^{-x}cos(x) ?

The derivative of 2sin(x)+ce^{-x}cos(x) is 2cos(x)+c(-e^{-x}cos(x)-e^{-x}sin(x))

What is the first derivative of 2sin(x)+ce^{-x}cos(x) ?

The first derivative of 2sin(x)+ce^{-x}cos(x) is 2cos(x)+c(-e^{-x}cos(x)-e^{-x}sin(x))

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derivative of

2 sin (x) + c e^{- x} cos (x)

2 cos (x) + c (- e^{- x} cos (x) - e^{- x} sin (x))

Solution steps

\frac{d}{d x} (2 sin (x) + c e^{- x} cos (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 sin (x)) + \frac{d}{d x} (c e^{- x} cos (x))

\frac{d}{d x} (2 sin (x)) = 2 cos (x)

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

= 2 cos (x) + c (- e^{- x} cos (x) - e^{- x} sin (x))

\int 3 sin^{3} (x co) s^{2} x d x

\frac{d}{d x} (- 3 x - 4)

1728 - 1160 x + 34 x^{2} + x^{3}

\int (5) d x

x \to 1 lim (\frac{2 x - 5}{x + 1})

What is the derivative of 2sin(x)+ce^{-x}cos(x) ?
The derivative of 2sin(x)+ce^{-x}cos(x) is 2cos(x)+c(-e^{-x}cos(x)-e^{-x}sin(x))
What is the first derivative of 2sin(x)+ce^{-x}cos(x) ?
The first derivative of 2sin(x)+ce^{-x}cos(x) is 2cos(x)+c(-e^{-x}cos(x)-e^{-x}sin(x))