What is the derivative of sin((pix)^8) ?

The derivative of sin((pix)^8) is cos(pi^8x^8)*8pi^8x^7

What is the first derivative of sin((pix)^8) ?

The first derivative of sin((pix)^8) is cos(pi^8x^8)*8pi^8x^7

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derivative of

sin ((π x)^{8})

cos (π^{8} x^{8}) \cdot 8 π^{8} x^{7}

Solution steps

\frac{d}{d x} (sin ((π x)^{8}))

Simplify

sin ((π x)^{8}) : sin (π^{8} x^{8})

= \frac{d}{d x} (sin (π^{8} x^{8}))

Apply the chain rule:

cos (π^{8} x^{8}) \frac{d}{d x} (π^{8} x^{8})

= cos (π^{8} x^{8}) \frac{d}{d x} (π^{8} x^{8})

\frac{d}{d x} (π^{8} x^{8}) = 8 π^{8} x^{7}

= cos (π^{8} x^{8}) \cdot 8 π^{8} x^{7}

\int x sin (3 x^{2} + 10) d x

\frac{d}{d x} (ln (x y z))

\frac{\partial}{\partial x} (arctan (x + y))

\frac{d}{d x} (x (x - 6)^{2})

\int \frac{1}{x a ^{2} + x ^{2}} d x

What is the derivative of sin((pix)^8) ?
The derivative of sin((pix)^8) is cos(pi^8x^8)*8pi^8x^7
What is the first derivative of sin((pix)^8) ?
The first derivative of sin((pix)^8) is cos(pi^8x^8)*8pi^8x^7