What is the derivative of-9e^xsin(x)+9e^xcos(x) ?

The derivative of-9e^xsin(x)+9e^xcos(x) is -18e^xsin(x)

What is the first derivative of-9e^xsin(x)+9e^xcos(x) ?

The first derivative of-9e^xsin(x)+9e^xcos(x) is -18e^xsin(x)

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derivative of

- 9 e^{x} sin (x) + 9 e^{x} cos (x)

- 18 e^{x} sin (x)

Solution steps

\frac{d}{d x} (- 9 e^{x} sin (x) + 9 e^{x} cos (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (9 e^{x} sin (x)) + \frac{d}{d x} (9 e^{x} cos (x))

\frac{d}{d x} (9 e^{x} sin (x)) = 9 (e^{x} sin (x) + cos (x) e^{x})

\frac{d}{d x} (9 e^{x} cos (x)) = 9 (e^{x} cos (x) - e^{x} sin (x))

= - 9 (e^{x} sin (x) + cos (x) e^{x}) + 9 (e^{x} cos (x) - e^{x} sin (x))

Simplify

- 9 (e^{x} sin (x) + cos (x) e^{x}) + 9 (e^{x} cos (x) - e^{x} sin (x)) : - 18 e^{x} sin (x)

= - 18 e^{x} sin (x)

\int \frac{1}{x 1 - ln ^{2} ( x )} d x

\frac{d}{d θ} (- 3 sin (θ))

\int 5 sin (x) cos (x) d x

\int (- 3 x + 2 x) d x

\int_{2}^{5} (2 - x) (x - 5) d x

What is the derivative of-9e^xsin(x)+9e^xcos(x) ?
The derivative of-9e^xsin(x)+9e^xcos(x) is -18e^xsin(x)
What is the first derivative of-9e^xsin(x)+9e^xcos(x) ?
The first derivative of-9e^xsin(x)+9e^xcos(x) is -18e^xsin(x)