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

The derivative of-sin(5x) is -cos(5x)*5

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

The first derivative of-sin(5x) is -cos(5x)*5

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

- cos (5 x) \cdot 5

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= - cos (5 x) \cdot 5

\int \frac{4 + x ^{2}}{x ^{2}} d x

\int_{0}^{2 π} sin^{2} (8 x) d x

\frac{d}{d x} (10 x ln (100 x))

\frac{\partial}{\partial y} (27 x y^{2} + 8 y^{3})

x \to 2 lim (4 x - 5)

What is the derivative of-sin(5x) ?
The derivative of-sin(5x) is -cos(5x)*5
What is the first derivative of-sin(5x) ?
The first derivative of-sin(5x) is -cos(5x)*5