Mathematik-Spickzettel: Formeln, Vektoren & Statistik
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K = f'(x) = 0
f(x) = x, f'(x) = 1
f(x) = kx, f'(x) = k
f(x) = kx + b, f'(x) = k
f(x) = xⁿ, f'(x) = nxⁿ⁻¹
f(x) = u(x) + v(x), f'(x) = u'(x) + v'(x)
f(x) = u(x) * v(x), f'(x) = u(x) * v'(x) + v(x) * u'(x)
f(x) = u(x) / v(x), f'(x) = (v(x) * u'(x) - u(x) * v'(x)) / [v(x)]²
f(x) = [u(x)]ⁿ, f'(x) = n * [u(x)]ⁿ⁻¹ * u'(x)
f(x) = sin x, f'(x) = cos x
f(x) = sin[u(x)], f'(x) = cos u * u'
f(x) = cos x, f'(x) = -sin x
f(x) = cos u, f'(x) = -sin u * u'
f(x) = tan x, f'(x) = sec² x
f(x) = tan u, f'(x) = sec² u * u'
f(x) = cot x, f'(x) = -csc² x
f(x) = ctg u, f'(x) = -csc² u * u'
f(x) = sec x, f'(x) = sec x * tan x
f(x) = sec u, f'(x) = sec u * tan u * u'
f(x) = csc x, f'(x) = -csc x * cot x
... (Fortsetzung)
f(x) = x, f'(x) = 1
f(x) = kx, f'(x) = k
f(x) = kx + b, f'(x) = k
f(x) = xⁿ, f'(x) = nxⁿ⁻¹
f(x) = u(x) + v(x), f'(x) = u'(x) + v'(x)
f(x) = u(x) * v(x), f'(x) = u(x) * v'(x) + v(x) * u'(x)
f(x) = u(x) / v(x), f'(x) = (v(x) * u'(x) - u(x) * v'(x)) / [v(x)]²
f(x) = [u(x)]ⁿ, f'(x) = n * [u(x)]ⁿ⁻¹ * u'(x)
f(x) = sin x, f'(x) = cos x
f(x) = sin[u(x)], f'(x) = cos u * u'
f(x) = cos x, f'(x) = -sin x
f(x) = cos u, f'(x) = -sin u * u'
f(x) = tan x, f'(x) = sec² x
f(x) = tan u, f'(x) = sec² u * u'
f(x) = cot x, f'(x) = -csc² x
f(x) = ctg u, f'(x) = -csc² u * u'
f(x) = sec x, f'(x) = sec x * tan x
f(x) = sec u, f'(x) = sec u * tan u * u'
f(x) = csc x, f'(x) = -csc x * cot x
... (Fortsetzung)
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