What is the derivative of-4pisin(8pix) ?

The derivative of-4pisin(8pix) is -32pi^2cos(8pix)

What is the first derivative of-4pisin(8pix) ?

The first derivative of-4pisin(8pix) is -32pi^2cos(8pix)

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\frac{d}{d x} (- 4 π sin (8 π x))

- 32 π^{2} cos (8 π x)

Solution steps

\frac{d}{d x} (- 4 π sin (8 π x))

Take the constant out:

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

= - 4 π \frac{d}{d x} (sin (8 π x))

Apply the chain rule:

cos (8 π x) \frac{d}{d x} (8 π x)

= cos (8 π x) \frac{d}{d x} (8 π x)

\frac{d}{d x} (8 π x) = 8 π

= - 4 π cos (8 π x) \cdot 8 π

Simplify

- 4 π cos (8 π x) \cdot 8 π : - 32 π^{2} cos (8 π x)

= - 32 π^{2} cos (8 π x)

\frac{d}{d x} (4 lo g_{3} (x^{2} - 1))

\frac{d}{d x} (20 x)

\int \frac{1}{x ( 1 + 4 I n ^{2} x )} d x

y = 16 x

f (v) = \frac{v}{v + \frac{d}{v}}

What is the derivative of-4pisin(8pix) ?
The derivative of-4pisin(8pix) is -32pi^2cos(8pix)
What is the first derivative of-4pisin(8pix) ?
The first derivative of-4pisin(8pix) is -32pi^2cos(8pix)