What is the derivative of 2x^3+3 ?

The derivative of 2x^3+3 is 6x^2

What is the first derivative of 2x^3+3 ?

The first derivative of 2x^3+3 is 6x^2

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

6 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3) = 0

= 6 x^{2} + 0

Simplify

= 6 x^{2}

\int e^{t} d t

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = 0, y^{^{'}} (0) = 1

x y^{^{'}} + y = x e^{x}

\frac{d}{d x} (c_{1} e^{- x} + c_{2} x e^{- x})

\int cot (d) x d x