What is the derivative of pi*x^{1/2}-x^{1/3} ?

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

What is the first derivative of pi*x^{1/2}-x^{1/3} ?

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

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derivative of

π \cdot x^{\frac{1}{2}} - x^{\frac{1}{3}}

\frac{π}{2 x ^{\frac{1}{2}}} - \frac{1}{3 x ^{\frac{2}{3}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{π}{2 x ^{\frac{1}{2}}} - \frac{1}{3 x ^{\frac{2}{3}}}

- 4 sin (x)

\frac{d}{d b} (sin^{4} (2 b) - cos^{4} (2 b))

2 x^{2} y - x^{3} y^{^{'}} = y^{3}

\int \frac{x ^{2}}{1 + x ^{6}} d x

\int \frac{x ^{2}}{a} e^{- \frac{x}{a}} d x

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