What is the derivative of 9.75+1.5x^3 ?

The derivative of 9.75+1.5x^3 is 4.5x^2

What is the first derivative of 9.75+1.5x^3 ?

The first derivative of 9.75+1.5x^3 is 4.5x^2

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\frac{d}{d x} (9.75 + 1.5 x^{3})

4.5 x^{2}

Solution steps

\frac{d}{d x} (9.75 + 1.5 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9.75) + \frac{d}{d x} (1.5 x^{3})

\frac{d}{d x} (9.75) = 0

\frac{d}{d x} (1.5 x^{3}) = 4.5 x^{2}

= 0 + 4.5 x^{2}

Simplify

= 4.5 x^{2}

What is the derivative of 9.75+1.5x^3 ?
The derivative of 9.75+1.5x^3 is 4.5x^2
What is the first derivative of 9.75+1.5x^3 ?
The first derivative of 9.75+1.5x^3 is 4.5x^2