What is the derivative of sin((pix)^3) ?

The derivative of sin((pix)^3) is cos(pi^3x^3)*3pi^3x^2

What is the first derivative of sin((pix)^3) ?

The first derivative of sin((pix)^3) is cos(pi^3x^3)*3pi^3x^2

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derivative of

sin ((π x)^{3})

cos (π^{3} x^{3}) \cdot 3 π^{3} x^{2}

Solution steps

\frac{d}{d x} (sin ((π x)^{3}))

Simplify

sin ((π x)^{3}) : sin (π^{3} x^{3})

= \frac{d}{d x} (sin (π^{3} x^{3}))

Apply the chain rule:

cos (π^{3} x^{3}) \frac{d}{d x} (π^{3} x^{3})

= cos (π^{3} x^{3}) \frac{d}{d x} (π^{3} x^{3})

\frac{d}{d x} (π^{3} x^{3}) = 3 π^{3} x^{2}

= cos (π^{3} x^{3}) \cdot 3 π^{3} x^{2}

x^{2} y^{^{'}} - 2 x y = 5 y^{4}, y (1) = \frac{1}{4}

\int_{1}^{2} \frac{y ^{3}}{2} + \frac{1}{2 y ^{3}} d y

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

\int_{0}^{\frac{π}{4}} cos^{2} (\frac{x}{3}) d x

\int_{1}^{2} (x^{2} + 2 x) d x

What is the derivative of sin((pix)^3) ?
The derivative of sin((pix)^3) is cos(pi^3x^3)*3pi^3x^2
What is the first derivative of sin((pix)^3) ?
The first derivative of sin((pix)^3) is cos(pi^3x^3)*3pi^3x^2