What is the derivative of 1/3 x^3+1 ?

The derivative of 1/3 x^3+1 is x^2

What is the first derivative of 1/3 x^3+1 ?

The first derivative of 1/3 x^3+1 is x^2

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\frac{d}{d x} (\frac{1}{3} x^{3} + 1)

x^{2}

Solution steps

\frac{d}{d x} (\frac{1}{3} x^{3} + 1)

Simplify

\frac{1}{3} x^{3} + 1 : \frac{x ^{3}}{3} + 1

= \frac{d}{d x} (\frac{x ^{3}}{3} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) + \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

= x^{2} + 0

Simplify

= x^{2}

\frac{d y}{d x} = 9 x^{2} y^{2}

\frac{d}{d x} (sin (x) + 10 tan (x))

y^{^{'}} + 0.003 y - 0.105 = 0

\frac{\partial}{\partial z} (yz ln (x y))

f (x) = 7 + 3 x + 4 x e^{x}, at x = 0

What is the derivative of 1/3 x^3+1 ?
The derivative of 1/3 x^3+1 is x^2
What is the first derivative of 1/3 x^3+1 ?
The first derivative of 1/3 x^3+1 is x^2