What is the derivative of f(x)=5-2x^3 ?

The derivative of f(x)=5-2x^3 is -6x^2

What is the first derivative of f(x)=5-2x^3 ?

The first derivative of f(x)=5-2x^3 is -6x^2

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derivative of

f (x) = 5 - 2 x^{3}

- 6 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5) - \frac{d}{d x} (2 x^{3})

\frac{d}{d x} (5) = 0

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

= 0 - 6 x^{2}

Simplify

= - 6 x^{2}

What is the derivative of f(x)=5-2x^3 ?
The derivative of f(x)=5-2x^3 is -6x^2
What is the first derivative of f(x)=5-2x^3 ?
The first derivative of f(x)=5-2x^3 is -6x^2