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

The derivative of sin(pix^2) is cos(pix^2)*2pix

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

The first derivative of sin(pix^2) is cos(pix^2)*2pix

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\frac{d}{d x} (sin (π x^{2}))

cos (π x^{2}) \cdot 2 π x

Solution steps

\frac{d}{d x} (sin (π x^{2}))

Apply the chain rule:

cos (π x^{2}) \frac{d}{d x} (π x^{2})

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

\frac{d}{d x} (π x^{2}) = 2 π x

= cos (π x^{2}) \cdot 2 π x

x \to 0 + lim (\frac{1}{x ln ( x ^{9} )})

y^{^{'}} = - \frac{y}{x ^{2}} + \frac{1}{x ^{2} y ^{2}}

x \to 6 + lim (\frac{1}{( x - 6 ) ^{2}})

\frac{d}{d x} (\frac{3 ^{x^{2}} + x}{2 ^{x^{2}}})

\int \frac{2 ( csc ( x ) ) ^{2}}{cot ( x )} d x

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