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Popular >

derivative of (sin(2x))/2

Solution

derivative of

\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

integral from 0 to 3 of x^2-2x

\int_{0}^{3} x^{2} - 2 x d x

derivative of (2-x^{-2})

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

tangent of y= x/(1+x^2),(2,0.4)tangent of

y = \frac{x}{1 + x ^{2}}, (2, 0.4)

(dy)/(dx)=(x^2y^3)/(x+3)

\frac{d y}{d x} = \frac{x ^{2} y ^{3}}{x + 3}

limit as x approaches 4+of (4-x)/(|4-x|)

x \to 4 + lim (\frac{4 - x}{∣ 4 - x ∣})

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)