What is the derivative of-xcos(x) ?

The derivative of-xcos(x) is -cos(x)+xsin(x)

What is the first derivative of-xcos(x) ?

The first derivative of-xcos(x) is -cos(x)+xsin(x)

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derivative of

- x cos (x)

- cos (x) + x sin (x)

Solution steps

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

Take the constant out:

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

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = cos (x)

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

\frac{d x}{d x} = 1

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

= - (1 \cdot cos (x) + (- sin (x)) x)

Simplify

- (1 \cdot cos (x) + (- sin (x)) x) : - cos (x) + x sin (x)

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

d y = (x + 2 y) d x

\int \frac{x ^{2} - 1}{( x - 2 ) ^{2} ( x + 3 )} d x

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

\int x e^{x^{5}} d x

(8 - 1) (82)

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