What is the derivative of sin^2(pix) ?

The derivative of sin^2(pix) is pisin(2pix)

What is the first derivative of sin^2(pix) ?

The first derivative of sin^2(pix) is pisin(2pix)

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derivative of

sin^{2} (π x)

π sin (2 π x)

Solution steps

\frac{d}{d x} (sin^{2} (π x))

Apply the chain rule:

2 sin (π x) \frac{d}{d x} (sin (π x))

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

\frac{d}{d x} (sin (π x)) = cos (π x) π

= 2 sin (π x) cos (π x) π

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= π sin (2 π x)

\int \frac{24 x - 2 x ^{3}}{x ^{4} - 16} d x

\frac{d}{d x} (\frac{8}{x} - \frac{4}{x})

\frac{\partial}{\partial y} (yz - ln (x + z))

x \to 2 lim (3 x^{2} + 1)

y = 300 (1.056)^{x}

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