What is the derivative of-4/3 sin(x-5/3 cos(x)) ?

The derivative of-4/3 sin(x-5/3 cos(x)) is -4/3 cos(x)+5/3 sin(x)

What is the first derivative of-4/3 sin(x-5/3 cos(x)) ?

The first derivative of-4/3 sin(x-5/3 cos(x)) is -4/3 cos(x)+5/3 sin(x)

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\frac{d}{d x} (- \frac{4}{3} sin (x) - \frac{5}{3} cos (x))

- \frac{4}{3} cos (x) + \frac{5}{3} sin (x)

Solution steps

\frac{d}{d x} (- \frac{4}{3} sin (x) - \frac{5}{3} cos (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (\frac{4}{3} sin (x)) - \frac{d}{d x} (\frac{5}{3} cos (x))

\frac{d}{d x} (\frac{4}{3} sin (x)) = \frac{4}{3} cos (x)

\frac{d}{d x} (\frac{5}{3} cos (x)) = - \frac{5}{3} sin (x)

= - \frac{4}{3} cos (x) - (- \frac{5}{3} sin (x))

Simplify

= - \frac{4}{3} cos (x) + \frac{5}{3} sin (x)

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\frac{\partial}{\partial x} (\frac{a x + b y}{( c x + d y )})

\frac{d}{d x} (tan (arctan (x)))

\frac{d}{d x} (x^{2} - 9)

\frac{d}{d x} (sin (x) ln (4 x))

What is the derivative of-4/3 sin(x-5/3 cos(x)) ?
The derivative of-4/3 sin(x-5/3 cos(x)) is -4/3 cos(x)+5/3 sin(x)
What is the first derivative of-4/3 sin(x-5/3 cos(x)) ?
The first derivative of-4/3 sin(x-5/3 cos(x)) is -4/3 cos(x)+5/3 sin(x)