derivative of sin((pix^9))

解答

\frac{d}{d x} (sin ((π x)^{9}))

cos (π^{9} x^{9}) \cdot 9 π^{9} x^{8}

求解步骤

\frac{d}{d x} (sin ((π x)^{9}))

化简

sin ((π x)^{9}) : sin (π^{9} x^{9})

= \frac{d}{d x} (sin (π^{9} x^{9}))

使用连锁律:

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}

t an g e n t f (x) = 8 x - 10, (4, 22)

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

ma c l a u r in sin (5 x)

x \to 2 lim (3 x^{2} - x - 2)

d er i v a t i v e 7 x + 8