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

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

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

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

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derivative of

f (x) = 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)

d er i v a t i v e f (x) = ln (2 x + 1)

\int_{0}^{4} \frac{1}{64 - x ^{2}} d x

x \to \infty lim (ln (3))

d er i v a t i v e x^{\frac{1}{3}}

x \to 4 lim (5 - (- 7))

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