What is the derivative of 50sin(2000x) ?

The derivative of 50sin(2000x) is 100000cos(2000x)

What is the first derivative of 50sin(2000x) ?

The first derivative of 50sin(2000x) is 100000cos(2000x)

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\frac{d}{d x} (50 sin (2000 x))

100000 cos (2000 x)

Solution steps

\frac{d}{d x} (50 sin (2000 x))

Take the constant out:

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

= 50 \frac{d}{d x} (sin (2000 x))

Apply the chain rule:

cos (2000 x) \frac{d}{d x} (2000 x)

= cos (2000 x) \frac{d}{d x} (2000 x)

\frac{d}{d x} (2000 x) = 2000

= 50 cos (2000 x) \cdot 2000

Simplify

= 100000 cos (2000 x)

x = y^{2} - 2, x = - y^{2} + 2

\int \frac{8 x}{x - 1} d x

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = - \frac{25}{3}

\int \frac{( x + 2 )}{x} d x

\frac{d}{d x} (a^{x} ln (x))

What is the derivative of 50sin(2000x) ?
The derivative of 50sin(2000x) is 100000cos(2000x)
What is the first derivative of 50sin(2000x) ?
The first derivative of 50sin(2000x) is 100000cos(2000x)