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Popular >

derivative of-2sin(x-xcos(x))

Solution

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

Solution

- 3 cos (x) + x sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= - 3 cos (x) + x sin (x)

Popular Examples

integral of (e^{3sqrt(x)})/(sqrt(x))

\int \frac{e ^{3 x}}{x} d x

tangent of f(x)=(sqrt(x))/(x+1)tangent of

f (x) = \frac{x}{x + 1}

limit as x approaches-2 of 1/((x+2)^5)

x \to - 2 lim (\frac{1}{( x + 2 ) ^{5}})

inverse oflaplace 1/(s(s^2+2s+3))inverse laplace

\frac{1}{s ( s ^{2} + 2 s + 3 )}

integral of (2x+3)/(x^2+9)

\int \frac{2 x + 3}{x ^{2} + 9} d x

Frequently Asked Questions (FAQ)

What is the derivative of-2sin(x-xcos(x)) ?
The derivative of-2sin(x-xcos(x)) is -3cos(x)+xsin(x)
What is the first derivative of-2sin(x-xcos(x)) ?
The first derivative of-2sin(x-xcos(x)) is -3cos(x)+xsin(x)