What is the derivative of y=xcos(x) ?

The derivative of y=xcos(x) is cos(x)-xsin(x)

What is the first derivative of y=xcos(x) ?

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

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derivative of

y = x cos (x)

cos (x) - x sin (x)

Solution steps

\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

= cos (x) - x sin (x)

x = 63 - 7 y^{2}, x = 7 y^{2} - 63

t^{3} - t

\frac{d}{d x} (1 - x^{2} - x arccos (x))

y \frac{d y}{d x} = - 8 cos (π x)

\frac{\partial}{\partial x} (csc^{2} (x))

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