What is the derivative of-512sin(2x) ?

The derivative of-512sin(2x) is -1024cos(2x)

What is the first derivative of-512sin(2x) ?

The first derivative of-512sin(2x) is -1024cos(2x)

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\frac{d}{d x} (- 512 sin (2 x))

- 1024 cos (2 x)

Solution steps

\frac{d}{d x} (- 512 sin (2 x))

Take the constant out:

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

= - 512 \frac{d}{d x} (sin (2 x))

Apply the chain rule:

cos (2 x) \frac{d}{d x} (2 x)

= cos (2 x) \frac{d}{d x} (2 x)

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

= - 512 cos (2 x) \cdot 2

Simplify

= - 1024 cos (2 x)

\int (1 - \frac{x ^{2}}{4} - \frac{y ^{2}}{9}) d x

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = \frac{1}{2}, y^{^{'}} (0) = - \frac{3}{4}

x \to 0 lim (\frac{( \frac{1}{2} ) ^{x} - 1}{x})

f (x) = sec (2 x)

\int e^{x + e^{x}} d x

What is the derivative of-512sin(2x) ?
The derivative of-512sin(2x) is -1024cos(2x)
What is the first derivative of-512sin(2x) ?
The first derivative of-512sin(2x) is -1024cos(2x)