What is the derivative of sin((pix^9)) ?

The derivative of sin((pix^9)) is cos(pi^9x^9)*9pi^9x^8

What is the first derivative of sin((pix^9)) ?

The first derivative of sin((pix^9)) is cos(pi^9x^9)*9pi^9x^8

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\frac{d}{d x} (sin ((π x)^{9}))

cos (π^{9} x^{9}) \cdot 9 π^{9} x^{8}

Solution steps

\frac{d}{d x} (sin ((π x)^{9}))

Simplify

sin ((π x)^{9}) : sin (π^{9} x^{9})

= \frac{d}{d x} (sin (π^{9} x^{9}))

Apply the chain rule:

cos (π^{9} x^{9}) \frac{d}{d x} (π^{9} x^{9})

= cos (π^{9} x^{9}) \frac{d}{d x} (π^{9} x^{9})

\frac{d}{d x} (π^{9} x^{9}) = 9 π^{9} x^{8}

= cos (π^{9} x^{9}) \cdot 9 π^{9} x^{8}

f (x) = 8 x - 10, (4, 22)

x^{^{''}} + \frac{4}{5} x^{^{'}} + 4 x = 5, x (0) = 0, x^{^{'}} (0) = 0

sin (5 x)

(- 8, - 3), (- 1, - 2)

\frac{d}{d x} ((x + 1) (x + 3))

What is the derivative of sin((pix^9)) ?
The derivative of sin((pix^9)) is cos(pi^9x^9)*9pi^9x^8
What is the first derivative of sin((pix^9)) ?
The first derivative of sin((pix^9)) is cos(pi^9x^9)*9pi^9x^8