What is the derivative of sin(pi^2x^2) ?

The derivative of sin(pi^2x^2) is cos(pi^2x^2)*2pi^2x

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

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

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derivative of

sin (π^{2} x^{2})

cos (π^{2} x^{2}) \cdot 2 π^{2} x

Solution steps

\frac{d}{d x} (sin (π^{2} x^{2}))

Apply the chain rule:

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

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

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

= cos (π^{2} x^{2}) \cdot 2 π^{2} x

\int \frac{1}{x 3 x ^{2} - 2} d x

y = \frac{7 x - 24}{x ^{2} + 2 x}

\int \frac{1}{3 x ^{6}} d x

\frac{d}{d x} (ln (\frac{e ^{x}}{x}))

\int \frac{1}{e ^{4 x}} d x

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