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人気のある微分積分 >

derivative of 3x^2-7x+10

解

\frac{d}{d x} (3 x^{2} - 7 x + 10)

解

6 x - 7

解答ステップ

\frac{d}{d x} (3 x^{2} - 7 x + 10)

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (7 x) + \frac{d}{d x} (10)

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (7 x) = 7

\frac{d}{d x} (10) = 0

= 6 x - 7 + 0

簡素化

= 6 x - 7

グラフ

人気の例

tangent f(x)=2x^2+5x-3

t an g e n t f (x) = 2 x^{2} + 5 x - 3

integral of 1/((x^2-1)(x-3))

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

integral of 2sqrt(x-2)

\int 2 x - 2 d x

y^'+y/t =t^2y^4

y^{^{'}} + \frac{y}{t} = t^{2} y^{4}

limit as x approaches+4+of 7/(x-4)

x \to + 4 + lim (\frac{7}{x - 4})