What is the derivative of xsin(x) ?

The derivative of xsin(x) is sin(x)+xcos(x)

What is the first derivative of xsin(x) ?

The first derivative of xsin(x) is sin(x)+xcos(x)

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derivative of

x sin (x)

sin (x) + x cos (x)

Solution steps

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

Apply the Product Rule:

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

f = x, g = sin (x)

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

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

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

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

Simplify

= sin (x) + x cos (x)

f (x) = ∣ x ∣

(0, - 1), (3, - 3)

3 x - 2 y = 8

f (x) = \frac{1}{x + 3}

y = e^{3 x}

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