你可以帮我使用LaTeX把一下公式翻译一下吗?### 常数函数的微分:d C = 0 C为常数 $$d C = 0 C为常数$$ 幂函数的微分:d x^n = nx^n-1dx n为常数 $$d x^n = nx^n-1dx n为常数$$ 指数函数的微分:d a^x = a^xlnadx a为正常数 $$d a^x = a^xln adx a为正常数$$ 对数函数的微分:d lnx = 1
Can you help me translate the following formulas using LaTeX?
• Differentiation of constant functions: d (C) = 0 (where C is a constant)
$$d (C) = 0 (C\text{为常数})$$
• Differentiation of power functions: d (x^n) = nx^(n-1)dx (where n is a constant)
$$d (x^n) = nx^{n-1}dx (n\text{为常数})$$
• Differentiation of exponential functions: d (a^x) = a^xlnadx (where a is a positive constant)
$$d (a^x) = a^x\ln adx (a\text{为正常数})$$
• Differentiation of logarithmic functions: d (lnx) = 1/x dx
$$d (\ln x) = \frac{1}{x} dx$$
• Differentiation of trigonometric functions:
• d (sinx) = cosxdx
$$d (\sin x) = \cos xdx$$
• d (cosx) = -sinxdx
$$d (\cos x) = -\sin xdx$$
• d (tanx) = sec^2xdx
$$d (\tan x) = \sec^2 xdx$$
• d (cotx) = -csc^2xdx
$$d (\cot x) = -\csc^2 xdx$$
• d (secx) = secxtanxdx
$$d (\sec x) = \sec x\tan xdx$$
• d (cscx) = -cscxcotxdx
$$d (\csc x) = -\csc x\cot xdx$$
• Differentiation of inverse trigonometric functions:
• d (arcsinx) = 1/√(1-x^2)dx
$$d (\arcsin x) = \frac{1}{\sqrt{1-x^2}}dx$$
• d (arccosx) = -1/√(1-x^2)dx
$$d (\arccos x) = -\frac{1}{\sqrt{1-x^2}}dx$$
• d (arctanx) = 1/(1+x^2)dx
$$d (\arctan x) = \frac{1}{1+x^2}dx$$
• d (arccotx) = -1/(1+x^2)dx
$$d (\arccot x) = -\frac{1}{1+x^2}dx$$
• d (arcsecx) = 1/(|x|√(x^2-1))dx
$$d (\arcsec x) = \frac{1}{|x|\sqrt{x^2-1}}dx$$
• d (arccscx) = -1/(|x|√(x^2-1))dx
$$d (\arccsc x) = -\frac{1}{|x|\sqrt{x^2-1}}dx$
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