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Popular >

derivative of f(x)=xcos(x)-sin(x)

Solution

derivative of

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

Solution

- 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)

Popular Examples

y^'=-y/(2000+4t)4,y(0)=70

y^{^{'}} = - \frac{y}{2000 + 4 t} 4, y (0) = 70

integral of (cos^5(20))/(sqrt(sin(20)))

\int \frac{cos ^{5} ( 20 )}{sin ( 20 )} d x

integral of x/(1+e^{-x^2)}

\int \frac{x}{1 + e ^{- x^{2}}} d x

derivative of y=log_{2}(x)derivative of

y = lo g_{2} (x)

y^{''}= x/(10),y(0)=0,y(0.015)=0

y^{^{''}} = \frac{x}{10}, y (0) = 0, y (0.015) = 0

Frequently Asked Questions (FAQ)

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)