What is the derivative of 3-2sin(2x-pi/4) ?

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

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

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

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\frac{d}{d x} (3 - 2 sin (2 x - \frac{π}{4}))

- 22 cos (2 x) - 22 sin (2 x)

Solution steps

\frac{d}{d x} (3 - 2 sin (2 x - \frac{π}{4}))

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3) = 0

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

\frac{d}{d x} (2 cos (2 x)) = - 22 sin (2 x)

= 0 - 2 cos (2 x) \cdot 2 - 22 sin (2 x)

Simplify

= - 22 cos (2 x) - 22 sin (2 x)

\int e^{x} 3 x^{2} d x

x^{2} \frac{d ^{2} y}{d x ^{2}} - 5 x \frac{d y}{d x} + 9 y = 0

\int \frac{( x ^{2} - x + 30 )}{x ^{3} + 5 x} d x

d er i v a t i v e 3 x + 6 x^{3}

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

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