What is the derivative of cos(xx) ?

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

What is the first derivative of cos(xx) ?

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

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

- x sin (x) + cos (x)

Solution steps

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

Apply the Product Rule:

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

f = cos (x), g = x

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

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

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

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

Simplify

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

\int 2 x^{5} - 7 x^{3} + 6 d x

\frac{d}{d x} ((9 - x^{2})^{\frac{2}{3}})

\int x x - 5 d x

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

7 x^{2} - 3 x, x^{2} - 7 x + 2

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