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

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

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

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

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derivative of

x cos (x) - sin (x)

- x sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= - x sin (x)

\frac{1}{6} π r^{3}

\frac{d}{d x} (ln (sinh (9 x)))

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (8) = 8

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

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

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