What is the derivative of pisin(2pix) ?

The derivative of pisin(2pix) is 2pi^2cos(2pix)

What is the first derivative of pisin(2pix) ?

The first derivative of pisin(2pix) is 2pi^2cos(2pix)

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derivative of

π sin (2 π x)

2 π^{2} cos (2 π x)

Solution steps

\frac{d}{d x} (π sin (2 π x))

Take the constant out:

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

= π \frac{d}{d x} (sin (2 π x))

Apply the chain rule:

cos (2 π x) \frac{d}{d x} (2 π x)

= cos (2 π x) \frac{d}{d x} (2 π x)

\frac{d}{d x} (2 π x) = 2 π

= π cos (2 π x) \cdot 2 π

Simplify

π cos (2 π x) \cdot 2 π : 2 π^{2} cos (2 π x)

= 2 π^{2} cos (2 π x)

(t^{2} + 1) (\frac{d y}{d t}) = 2 y

(x + 5)^{2}, \frac{1}{3} x + 3, - 10, - 5

\int (1 - x^{9}) d x

\int \frac{1}{- x ^{2} - 10 x - 21} d x

(x + 4) (x - 5)^{2}

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