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Popular >

derivative of-3sin(x-xcos(x))

Solution

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

Solution

- 4 cos (x) + x sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= - 4 cos (x) + x sin (x)

Popular Examples

integral from 0 to pi/3 of 1

\int_{0}^{\frac{π}{3}} 1

derivative of (ln(x)(ln(3x-7)))

\frac{d}{d x} ((ln (x)) (ln (3 x - 7)))

derivative of f(x)=e^{-7/(x^7)}derivative of

f (x) = e^{- \frac{7}{x ^{7}}}

limit as x approaches infinity of 1+4/x

x \to \infty lim (1 + \frac{4}{x})

(\partial)/(\partial x)(-2e^{-x^2+y}yx)

\frac{\partial}{\partial x} (- 2 e^{- x^{2} + y} y x)

Frequently Asked Questions (FAQ)

What is the derivative of-3sin(x-xcos(x)) ?
The derivative of-3sin(x-xcos(x)) is -4cos(x)+xsin(x)
What is the first derivative of-3sin(x-xcos(x)) ?
The first derivative of-3sin(x-xcos(x)) is -4cos(x)+xsin(x)