What is the derivative of 4/3 x^3+2 ?

The derivative of 4/3 x^3+2 is 4x^2

What is the first derivative of 4/3 x^3+2 ?

The first derivative of 4/3 x^3+2 is 4x^2

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

4 x^{2}

Solution steps

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

Simplify

\frac{4}{3} x^{3} + 2 : \frac{4 x ^{3}}{3} + 2

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

= 4 x^{2} + 0

Simplify

= 4 x^{2}

\int_{0}^{\infty} \frac{7}{x ^{2} + 1} d x

\int \frac{1}{x ^{8} + x ^{6}} d x

x \to 0 + lim (x (ln (4 x))^{2})

y = x^{4} + 5 x^{2} - x, (1, 5)

t d t + y e^{- t} d y = 0, y (0) = 1

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