What is the derivative of-7sin(x/7) ?

The derivative of-7sin(x/7) is -cos(x/7)

What is the first derivative of-7sin(x/7) ?

The first derivative of-7sin(x/7) is -cos(x/7)

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\frac{d}{d x} (- 7 sin (\frac{x}{7}))

- cos (\frac{x}{7})

Solution steps

\frac{d}{d x} (- 7 sin (\frac{x}{7}))

Take the constant out:

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

= - 7 \frac{d}{d x} (sin (\frac{x}{7}))

Apply the chain rule:

cos (\frac{x}{7}) \frac{d}{d x} (\frac{x}{7})

= cos (\frac{x}{7}) \frac{d}{d x} (\frac{x}{7})

\frac{d}{d x} (\frac{x}{7}) = \frac{1}{7}

= - 7 cos (\frac{x}{7}) \frac{1}{7}

Simplify

- 7 cos (\frac{x}{7}) \frac{1}{7} : - cos (\frac{x}{7})

= - cos (\frac{x}{7})

25 y^{^{''}} + 11 y = 0

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

\int (3 x + 1) e^{2 x} d x

\frac{\partial}{\partial x} (x z + yz)

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What is the derivative of-7sin(x/7) ?
The derivative of-7sin(x/7) is -cos(x/7)
What is the first derivative of-7sin(x/7) ?
The first derivative of-7sin(x/7) is -cos(x/7)