What is the derivative of 3/5 cos(2x-pi/4)+pi ?

The derivative of 3/5 cos(2x-pi/4)+pi is (3sqrt(2)(cos(2x)-sin(2x)))/5

What is the first derivative of 3/5 cos(2x-pi/4)+pi ?

The first derivative of 3/5 cos(2x-pi/4)+pi is (3sqrt(2)(cos(2x)-sin(2x)))/5

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derivative of

\frac{3}{5} cos (2 x - \frac{π}{4}) + π

\frac{3 2 ( cos ( 2 x ) - sin ( 2 x ) )}{5}

Solution steps

\frac{d}{d x} (\frac{3}{5} cos (2 x - \frac{π}{4}) + π)

Simplify

\frac{3}{5} cos (2 x - \frac{π}{4}) + π : \frac{3 ( 2 cos ( 2 x ) + 2 sin ( 2 x ) )}{10} + π

= \frac{d}{d x} (\frac{3 ( 2 cos ( 2 x ) + 2 sin ( 2 x ) )}{10} + π)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{3 ( 2 cos ( 2 x ) + 2 sin ( 2 x ) )}{10}) + \frac{d π}{d x}

\frac{d}{d x} (\frac{3 ( 2 cos ( 2 x ) + 2 sin ( 2 x ) )}{10}) = \frac{3 2 ( cos ( 2 x ) - sin ( 2 x ) )}{5}

\frac{d π}{d x} = 0

= \frac{3 2 ( cos ( 2 x ) - sin ( 2 x ) )}{5} + 0

Simplify

= \frac{3 2 ( cos ( 2 x ) - sin ( 2 x ) )}{5}

What is the derivative of 3/5 cos(2x-pi/4)+pi ?
The derivative of 3/5 cos(2x-pi/4)+pi is (3sqrt(2)(cos(2x)-sin(2x)))/5
What is the first derivative of 3/5 cos(2x-pi/4)+pi ?
The first derivative of 3/5 cos(2x-pi/4)+pi is (3sqrt(2)(cos(2x)-sin(2x)))/5