What is the derivative of sin(x/5) ?

The derivative of sin(x/5) is cos(x/5) 1/5

What is the first derivative of sin(x/5) ?

The first derivative of sin(x/5) is cos(x/5) 1/5

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\frac{d}{d x} (sin (\frac{x}{5}))

cos (\frac{x}{5}) \frac{1}{5}

Solution steps

\frac{d}{d x} (sin (\frac{x}{5}))

Apply the chain rule:

cos (\frac{x}{5}) \frac{d}{d x} (\frac{x}{5})

= cos (\frac{x}{5}) \frac{d}{d x} (\frac{x}{5})

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

= cos (\frac{x}{5}) \frac{1}{5}

y^{^{'''}} + 8 y^{^{''}} + 52 y^{^{'}} = 0

\int_{0}^{1} 5 e^{- 5 x} d x

\int \frac{3}{x - 1} d x

3 x^{5} - 20 x^{3}

8 x, \frac{1}{2} x, 1, 2

What is the derivative of sin(x/5) ?
The derivative of sin(x/5) is cos(x/5) 1/5
What is the first derivative of sin(x/5) ?
The first derivative of sin(x/5) is cos(x/5) 1/5