What is the derivative of sqrt(2x)sin(x) ?

The derivative of sqrt(2x)sin(x) is (sin(x))/(sqrt(2)\sqrt{x)}+sqrt(2)sqrt(x)cos(x)

What is the first derivative of sqrt(2x)sin(x) ?

The first derivative of sqrt(2x)sin(x) is (sin(x))/(sqrt(2)\sqrt{x)}+sqrt(2)sqrt(x)cos(x)

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Popular >

\frac{d}{d x} (2 x sin (x))

\frac{sin ( x )}{2 x} + 2 x cos (x)

Solution steps

\frac{d}{d x} (2 x sin (x))

Apply the Product Rule:

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

f = 2 x, g = sin (x)

= \frac{d}{d x} (2 x) sin (x) + \frac{d}{d x} (sin (x)) 2 x

\frac{d}{d x} (2 x) = \frac{1}{2 x}

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

= \frac{1}{2 x} sin (x) + cos (x) 2 x

Simplify

\frac{1}{2 x} sin (x) + cos (x) 2 x : \frac{sin ( x )}{2 x} + 2 x cos (x)

= \frac{sin ( x )}{2 x} + 2 x cos (x)

\frac{\partial}{\partial y} (sin (x^{3} y^{2}))

\frac{\partial}{\partial y} (3 x^{2} y^{4} - 4)

\frac{2}{x ^{2} + 3}

2 a x + b

\frac{d y}{d x} = \frac{2 x}{y}

What is the derivative of sqrt(2x)sin(x) ?
The derivative of sqrt(2x)sin(x) is (sin(x))/(sqrt(2)\sqrt{x)}+sqrt(2)sqrt(x)cos(x)
What is the first derivative of sqrt(2x)sin(x) ?
The first derivative of sqrt(2x)sin(x) is (sin(x))/(sqrt(2)\sqrt{x)}+sqrt(2)sqrt(x)cos(x)