What is the derivative of e^xcos(x-x^3sin(x)+pi) ?

The derivative of e^xcos(x-x^3sin(x)+pi) is e^xcos(x)-e^xsin(x)-x^3cos(x)-3x^2sin(x)

What is the first derivative of e^xcos(x-x^3sin(x)+pi) ?

The first derivative of e^xcos(x-x^3sin(x)+pi) is e^xcos(x)-e^xsin(x)-x^3cos(x)-3x^2sin(x)

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\frac{d}{d x} (e^{x} cos (x) - x^{3} sin (x) + π)

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

Solution steps

\frac{d}{d x} (e^{x} cos (x) - x^{3} sin (x) + π)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x} cos (x)) - \frac{d}{d x} (x^{3} sin (x)) + \frac{d}{d x} (π)

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

\frac{d}{d x} (x^{3} sin (x)) = 3 x^{2} sin (x) + cos (x) x^{3}

\frac{d}{d x} (π) = 0

= e^{x} cos (x) - e^{x} sin (x) - (3 x^{2} sin (x) + cos (x) x^{3}) + 0

Simplify

= e^{x} cos (x) - e^{x} sin (x) - x^{3} cos (x) - 3 x^{2} sin (x)

y^{^{'}} = \frac{y}{50} 5, y (0) = 30

(7, 6), (- 7, - 7)

\frac{d y}{d x} = \frac{y}{x} + (\frac{y}{x})^{2} - 1

y^{^{''}} + 3 y^{^{'}} + 2 y = \frac{1}{1 + e ^{t}}

\int x 1 + x + \frac{x ^{2} + 4}{x - 1} d x

What is the derivative of e^xcos(x-x^3sin(x)+pi) ?
The derivative of e^xcos(x-x^3sin(x)+pi) is e^xcos(x)-e^xsin(x)-x^3cos(x)-3x^2sin(x)
What is the first derivative of e^xcos(x-x^3sin(x)+pi) ?
The first derivative of e^xcos(x-x^3sin(x)+pi) is e^xcos(x)-e^xsin(x)-x^3cos(x)-3x^2sin(x)