solvefor f,tan(f)(x)=(sqrt(x)+1)/(sqrt(x^3))

解答

求解

f, tan (f) (x) = \frac{x + 1}{x ^{3}}

f = arctan (\frac{x ( x + 1 )}{x ^{3}}) + πn

求解步骤

tan (f) (x) = \frac{x + 1}{x ^{3}}

化简

\frac{x + 1}{x ^{3}} : \frac{x + 1}{x x ^{2}}

tan (f) x = \frac{x + 1}{x x ^{2}}

两边除以

x; x \neq = 0

tan (f) = \frac{x ( x + 1 )}{x ^{3}}; x \neq = 0

使用反三角函数性质

f = arctan (\frac{x ( x + 1 )}{x ^{3}}) + πn

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