derivative of sin((pix^3))

解答

\frac{d}{d x} (sin ((π x)^{3}))

cos (π^{3} x^{3}) \cdot 3 π^{3} x^{2}

求解步骤

\frac{d}{d x} (sin ((π x)^{3}))

化简

sin ((π x)^{3}) : sin (π^{3} x^{3})

= \frac{d}{d x} (sin (π^{3} x^{3}))

使用连锁律:

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}

d er i v a t i v e (2 x + 1)^{4}

x \to \infty lim (lo g_{2} (\frac{( x + 2 )}{( 2 \cdot x + 1 )}))

\int_{1}^{8} x - 1 d x

t an g e n t x^{2} x^{3} + 1

\int \frac{sec ^{2} ( θ )}{tan ( θ )} d θ