f^'(x)=5x^4

解答

f^{^{'}} (x) = 5 x^{4}

f (x) = x^{5} + c_{1}

求解步骤

f^{'} (x) = 5 x^{4}

若

f^{^{'}} (x) = g (x)

则

f (x) = \int g (x) d x

f (x) = \int 5 x^{4} d x

\int 5 x^{4} d x = x^{5} + c_{1}

f (x) = x^{5} + c_{1}

\frac{d ^{2}}{d x ^{2}} (15 e^{\frac{1}{x}})

x y^{^{''}} + 2 y^{^{'}} = 0

\frac{d}{d x} (\frac{1}{3} (x^{2} + 2)^{\frac{2}{3}})

n = 1 \sum \infty \frac{n ^{3}}{2 ^{n}}

\frac{d}{d x} (ln (x^{2}))