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

The derivative of x^3+x+3 is 3x^2+1

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

The first derivative of x^3+x+3 is 3x^2+1

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derivative of

x^{3} + x + 3

3 x^{2} + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d x}{d x} = 1

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

= 3 x^{2} + 1 + 0

Simplify

= 3 x^{2} + 1

e^{x}, e^{- 4 x}, x = ln (3)

\int_{1}^{3} ((x)^{3} + e^{- 3 x}) d x

x \to 36 lim (x)

x \to 3 lim ((4 x + 5) (3 x - 2))

x \to - \infty lim (1 + x^{2})

What is the derivative of x^3+x+3 ?
The derivative of x^3+x+3 is 3x^2+1
What is the first derivative of x^3+x+3 ?
The first derivative of x^3+x+3 is 3x^2+1