What is the derivative of x+2x^{1/3} ?

The derivative of x+2x^{1/3} is 1+2/(3x^{2/3)}

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

The first derivative of x+2x^{1/3} is 1+2/(3x^{2/3)}

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\frac{d}{d x} (x + 2 x^{\frac{1}{3}})

1 + \frac{2}{3 x ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} (x + 2 x^{\frac{1}{3}})

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (2 x^{\frac{1}{3}})

\frac{d x}{d x} = 1

\frac{d}{d x} (2 x^{\frac{1}{3}}) = \frac{2}{3 x ^{\frac{2}{3}}}

= 1 + \frac{2}{3 x ^{\frac{2}{3}}}

\int \frac{cos ( \frac{π}{x ^{43}} )}{x ^{44}} d x

\frac{d}{d x} (x^{3} (4 x^{2} - 5 x - 6))

2 (1 - e^{- 5 t})

x \to 2 lim (2 x^{2} - 8)

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

What is the derivative of x+2x^{1/3} ?
The derivative of x+2x^{1/3} is 1+2/(3x^{2/3)}
What is the first derivative of x+2x^{1/3} ?
The first derivative of x+2x^{1/3} is 1+2/(3x^{2/3)}