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Popular >

derivative of (-sin(x)/(sqrt(2)))

Solution

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

Solution

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

Solution steps

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

Simplify

\frac{- sin ( x )}{2} : - \frac{sin ( x )}{2}

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

Take the constant out:

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

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

Apply the common derivative:

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

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

Popular Examples

integral of (2x-1)/(sqrt(1-x^2))

\int \frac{2 x - 1}{1 - x ^{2}} d x

limit as x approaches+4+of 2x-7

x \to + 4 + lim (2 x - 7)

derivative of 2/(x^{1/2})

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

integral of 1/(4e^{-8x)+e^{8x}}

\int \frac{1}{4 e ^{- 8 x} + e ^{8 x}} d x

(\partial)/(\partial x)(x(x^2+y^2+z^2-1))

\frac{\partial}{\partial x} (x (x^{2} + y^{2} + z^{2} - 1))

Frequently Asked Questions (FAQ)

What is the derivative of (-sin(x)/(sqrt(2))) ?
The derivative of (-sin(x)/(sqrt(2))) is -1/(sqrt(2))cos(x)
What is the first derivative of (-sin(x)/(sqrt(2))) ?
The first derivative of (-sin(x)/(sqrt(2))) is -1/(sqrt(2))cos(x)