考研高数二公式总结如下:
1. 导数公式:
- (x^n)' = nx^(n-1)(n为常数)
- (c)' = 0(c为常数)
- (x)' = 1
- (sinx)' = cosx
- (cosx)' = -sinx
- (tanx)' = sec^2x
- (cotx)' = -csc^2x
- (lnx)' = 1/x
2. 积分公式:
- ∫kdx = kx + C(k为常数)
- ∫x^n dx = (x^(n+1))/(n+1) + C(n≠-1)
- ∫sinx dx = -cosx + C
- ∫cosx dx = sinx + C
- ∫tanx dx = -ln|cosx| + C
- ∫cotx dx = ln|sinx| + C
3. 高阶导数公式:
- (f(g(x)))' = f'(g(x)) * g'(x)
- (x^n)' = nx^(n-1)(n为常数)
- (c)' = 0(c为常数)
- (sinx)' = cosx
- (cosx)' = -sinx
- (tanx)' = sec^2x
- (cotx)' = -csc^2x
- (lnx)' = 1/x
4. 分部积分公式:
- ∫uv'dx = uv - ∫u'vdx
5. 三角函数恒等变换:
- sin^2x + cos^2x = 1
- sinx/cosx = tanx
- cosx/sinx = cotx
- 1/sinx = cscx
- 1/cosx = secx
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