What is the derivative of c_{1}cos(x+c_{2}sin(x)) ?

The derivative of c_{1}cos(x+c_{2}sin(x)) is -c_{1}sin(x)+c_{2}cos(x)

What is the first derivative of c_{1}cos(x+c_{2}sin(x)) ?

The first derivative of c_{1}cos(x+c_{2}sin(x)) is -c_{1}sin(x)+c_{2}cos(x)

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\frac{d}{d x} (c_{1} cos (x) + c_{2} sin (x))

- c_{1} sin (x) + c_{2} cos (x)

Solution steps

\frac{d}{d x} (c_{1} cos (x) + c_{2} sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (c_{1} cos (x)) + \frac{d}{d x} (c_{2} sin (x))

\frac{d}{d x} (c_{1} cos (x)) = - c_{1} sin (x)

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

= - c_{1} sin (x) + c_{2} cos (x)

\int sin (p) d p

y^{^{''}} - 4 y^{^{'}} + 4 y = 0

\int \frac{x}{7 x ^{2} + 3} d x

\frac{d}{d x} (ln (x^{3} - \frac{1}{x}))

f (x) = \frac{x cos ( x ) + π}{π - x}

What is the derivative of c_{1}cos(x+c_{2}sin(x)) ?
The derivative of c_{1}cos(x+c_{2}sin(x)) is -c_{1}sin(x)+c_{2}cos(x)
What is the first derivative of c_{1}cos(x+c_{2}sin(x)) ?
The first derivative of c_{1}cos(x+c_{2}sin(x)) is -c_{1}sin(x)+c_{2}cos(x)