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

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

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

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

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

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

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

(- 1, - 2) y (0, 0)

, (2 - x r i g h t)

2 tan (4) (x - 8)

(3 - 5 x - 5Δ x)^{4}

\frac{1}{( x + 2 ) ln ( x + 2 )} - \frac{1}{( x + 1 ) + ln ( x + 1 )}

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