What is the derivative of 4x^3+5 ?

The derivative of 4x^3+5 is 12x^2

What is the first derivative of 4x^3+5 ?

The first derivative of 4x^3+5 is 12x^2

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derivative of

4 x^{3} + 5

12 x^{2}

Solution steps

\frac{d}{d x} (4 x^{3} + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (5)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

= 12 x^{2} + 0

Simplify

= 12 x^{2}

d er i v a t i v e (x + 1)^{3} \cdot (5 - x)

d er i v a t i v e \frac{1}{( 5 + x )}

d er i v a t i v e y = (2 x + 1)^{s i n (5 x)}

d er i v a t i v e \frac{5}{3 x ^{2}}

d er i v a t i v e y = lo g_{10} (3 x)

What is the derivative of 4x^3+5 ?
The derivative of 4x^3+5 is 12x^2
What is the first derivative of 4x^3+5 ?
The first derivative of 4x^3+5 is 12x^2