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Popular >

derivative of 3(2cos(x-xsin(x)))

Solution

\frac{d}{d x} (3 (2 cos (x) - x sin (x)))

Solution

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

Solution steps

\frac{d}{d x} (3 (2 cos (x) - x sin (x)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (2 cos (x) - x sin (x))

Apply the Sum/Difference Rule:

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

= 3 (\frac{d}{d x} (2 cos (x)) - \frac{d}{d x} (x sin (x)))

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

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

= 3 (- 2 sin (x) - (sin (x) + x cos (x)))

Simplify

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

Graph

Popular Examples

integral from 0 to 5 of 12e^{3x}

\int_{0}^{5} 12 e^{3 x} d x

(\partial)/(\partial z)(xsin(y)sin(z))

\frac{\partial}{\partial z} (x sin (y) sin (z))

slope of xy-2y^2=4,(9,4)slope

x y - 2 y^{2} = 4, (9, 4)

derivative of ln(x/(x^2+1))derivative of

ln (\frac{x}{x ^{2} + 1})

inverse oflaplace (3s+1)/(s^2(s^2+4))inverse laplace

\frac{3 s + 1}{s ^{2} ( s ^{2} + 4 )}

Frequently Asked Questions (FAQ)

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