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Popular >

derivative of f(x)=cos(x)-xsin(x)

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

Popular Examples

(dv)/(dt)=4.9-((100v)/(2.5))

\frac{d v}{d t} = 4.9 - (\frac{100 v}{2.5})

area y=3sqrt(49-x^2),y=0,x=2,x=4 area

y = 3 49 - x^{2}, y = 0, x = 2, x = 4

(\partial)/(\partial x)(2xcos(4xy))

\frac{\partial}{\partial x} (2 x cos (4 x y))

laplacetransform f(t)=3\delta(t)+2+4e^{-3t+2}laplace transform

f (t) = 3 δ (t) + 2 + 4 e^{- 3 t + 2}

y^'(x)=(9x^2)/(9y^2-11),y(11)=0

y^{^{'}} (x) = \frac{9 x ^{2}}{9 y ^{2} - 11}, y (11) = 0

Frequently Asked Questions (FAQ)

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