What is the derivative of 3x-4x^{5/6} ?

The derivative of 3x-4x^{5/6} is 3-(10)/(3x^{1/6)}

What is the first derivative of 3x-4x^{5/6} ?

The first derivative of 3x-4x^{5/6} is 3-(10)/(3x^{1/6)}

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

3 - \frac{10}{3 x ^{\frac{1}{6}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (4 x^{\frac{5}{6}}) = \frac{10}{3 x ^{\frac{1}{6}}}

= 3 - \frac{10}{3 x ^{\frac{1}{6}}}

\int 3 ln (x^{2} - 1) d x

2 \frac{d y}{d x} + \frac{1}{x} y = \frac{x ^{2}}{y}

y^{^{''}} + 4 y^{^{'}} + 13 y = 0, y (0) = - 1, y^{^{'}} (0) = 1

\int \frac{1}{( x - 6 ) ( x - 2 )} d x

f (x) = 4 sec (x), at \frac{π}{3}

What is the derivative of 3x-4x^{5/6} ?
The derivative of 3x-4x^{5/6} is 3-(10)/(3x^{1/6)}
What is the first derivative of 3x-4x^{5/6} ?
The first derivative of 3x-4x^{5/6} is 3-(10)/(3x^{1/6)}