Learn how to solve problems step by step online. d/dx(sec(1/(x^3))). Anwendung der trigonometrischen Identität: \frac{d}{dx}\left(\sec\left(\theta \right)\right)=\frac{d}{dx}\left(\theta \right)\sec\left(\theta \right)\tan\left(\theta \right), wobei x=\frac{1}{x^3}. Wenden Sie die Formel an: \frac{d}{dx}\left(\frac{a}{b}\right)=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}, wobei a=1 und b=x^3. Simplify \left(x^3\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Wenden Sie die Formel an: \frac{d}{dx}\left(c\right)=0, wobei c=1.

d/dx(sec(1/(x^3)))