derivative f(x)=3x^2+1

解答

导数

f (x) = 3 x^{2} + 1

6 x

求解步骤

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

使用微分加减法定则:

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

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

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

\frac{d}{d x} (1) = 0

= 6 x + 0

化简

= 6 x

\frac{d}{d x} (ln^{3} (2 x + 5))

x y^{^{'}} + y = x^{4} y^{3}

\frac{d}{d x} ((6 x - 7)^{3} (8 x^{2} + 9)^{2})

\int_{0}^{5} (5 - x) d x

x y d y = y d x