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)

\frac{\partial}{\partial x} (98 y^{2} + x^{2} - x^{2} y)

\frac{d}{d x} ((x - 4)^{2} - 5)

n = 0 \sum \infty n e^{- n^{2}}

f (x) = (1 + 3 x^{2}) (x - x^{2})

y^{^{'}} + 2 y = t e^{- 2 t}, y (1) = 0

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)