derivative of cos((x^2+6^5))

解答

\frac{d}{d x} (cos ((x^{2} + 6)^{5}))

- sin ((x^{2} + 6)^{5}) \cdot 10 x (x^{2} + 6)^{4}

求解步骤

\frac{d}{d x} (cos ((x^{2} + 6)^{5}))

使用连锁律:

- sin ((x^{2} + 6)^{5}) \frac{d}{d x} ((x^{2} + 6)^{5})

= - sin ((x^{2} + 6)^{5}) \frac{d}{d x} ((x^{2} + 6)^{5})

\frac{d}{d x} ((x^{2} + 6)^{5}) = 10 x (x^{2} + 6)^{4}

= - sin ((x^{2} + 6)^{5}) \cdot 10 x (x^{2} + 6)^{4}

\frac{d}{d x} (e^{x} x^{2} + 4 e^{x} x + 2 e^{x})

\int 7 e^{x} 3 + e^{x} d x

\int r^{5} d r

x \to 0 lim (cosh (x))

\frac{d y}{d x} = (\frac{x}{1 - 6 x ^{2}})