f^'(x)=3.52x^2-30.1x+81

解答

f^{^{'}} (x) = 3.52 x^{2} - 30.1 x + 81

f (x) = 1.17333 \dots x^{3} - 15.05 x^{2} + 81 x + c_{1}

求解步骤

f^{'} (x) = 3.52 x^{2} - 30.1 x + 81

若

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

则

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

f (x) = \int 3.52 x^{2} - 30.1 x + 81 d x

\int 3.52 x^{2} - 30.1 x + 81 d x = 1.17333 \dots x^{3} - 15.05 x^{2} + 81 x + c_{1}

f (x) = 1.17333 \dots x^{3} - 15.05 x^{2} + 81 x + c_{1}

d er i v a t i v e \frac{10}{x}

\frac{d}{d x} (e^{x + 8})

\frac{\partial ^{2}}{\partial x \partial y} (\frac{1}{x y})

\int 1 + x d x

t an g e n t f (x) = 1 - x^{2}