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

The derivative of 2sin(sqrt(x)) is (cos(sqrt(x)))/(sqrt(x))

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

The first derivative of 2sin(sqrt(x)) is (cos(sqrt(x)))/(sqrt(x))

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

\frac{cos ( x )}{x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

arcsin (\frac{2}{3})

y^{^{'}} + 6 x^{5} y = x^{5}

y^{^{''}} - y^{^{'}} = e^{t} cos (t)

\int \frac{1}{e ^{x} - e ^{- x}} d x

\int sin (x n) d x

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