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Popular >

derivative of (sin(2x)/2)

Solution

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

Solution

cos (2 x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

= cos (2 x)

Popular Examples

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

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

integral of (e^{6x})/(e^{6x)-3e^{-6x}}

\int \frac{e ^{6 x}}{e ^{6 x} - 3 e ^{- 6 x}} d x

integral of (8y)/x

\int \frac{8 y}{x} d x

limit as x approaches infinity of (3.4)/(0.1+33.9e^{-0.5678x)}

x \to \infty lim (\frac{3.4}{0.1 + 33.9 e ^{- 0.5678 x}})

laplacetransform t^31(t)laplace transform

t^{3} 1 (t)

Frequently Asked Questions (FAQ)

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