What is the derivative of f(x)=x^3+x-3 ?

The derivative of f(x)=x^3+x-3 is 3x^2+1

What is the first derivative of f(x)=x^3+x-3 ?

The first derivative of f(x)=x^3+x-3 is 3x^2+1

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derivative of

f (x) = 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

What is the derivative of f(x)=x^3+x-3 ?
The derivative of f(x)=x^3+x-3 is 3x^2+1
What is the first derivative of f(x)=x^3+x-3 ?
The first derivative of f(x)=x^3+x-3 is 3x^2+1