What is the derivative of 2xcos(x-2sin(x)) ?

The derivative of 2xcos(x-2sin(x)) is -2xsin(x)

What is the first derivative of 2xcos(x-2sin(x)) ?

The first derivative of 2xcos(x-2sin(x)) is -2xsin(x)

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

- 2 x sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

2 (cos (x) - x sin (x)) - 2 cos (x) : - 2 x sin (x)

= - 2 x sin (x)

\frac{x}{1 + x ^{2}}, at x = 2

\int 0.02 e^{x} d x

2 x y^{2} + 4 = 2 (3 - x^{2} y) y^{^{'}}, y (- 1) = 8

\frac{d}{d x} (x^{3} + 3 x^{2} - 144 x)

(- 1.4) (- 4.2)

What is the derivative of 2xcos(x-2sin(x)) ?
The derivative of 2xcos(x-2sin(x)) is -2xsin(x)
What is the first derivative of 2xcos(x-2sin(x)) ?
The first derivative of 2xcos(x-2sin(x)) is -2xsin(x)