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

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

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

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

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

2 sin^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - cos (2 x)

Rewrite using trig identities

= 2 sin^{2} (x)

\int \frac{1}{2 x ^{3}} - \frac{1}{x ^{4}} d x

\frac{d}{d x} (\frac{sec ( x )}{8 + sec ( x )})

f (x) = - csc (x) cot (x)

sin (x^{0.5})

(x^{2} + 1) (2 x + 5 + \frac{8}{x})

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