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

The derivative of 4x-5x^{5/6} is 4-(25)/(6x^{1/6)}

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

The first derivative of 4x-5x^{5/6} is 4-(25)/(6x^{1/6)}

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

4 - \frac{25}{6 x ^{\frac{1}{6}}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (5 x^{\frac{5}{6}}) = \frac{25}{6 x ^{\frac{1}{6}}}

= 4 - \frac{25}{6 x ^{\frac{1}{6}}}

f (x) = x cos (x) + 2 tan (x)

\int coth (\frac{x}{3}) d x

\frac{d}{d x} (a \cdot e^{x})

x \to - 5 - lim (\frac{2}{x ^{2} - 25})

n = 1 \sum \infty \frac{6 n}{8 n + 9}

What is the derivative of 4x-5x^{5/6} ?
The derivative of 4x-5x^{5/6} is 4-(25)/(6x^{1/6)}
What is the first derivative of 4x-5x^{5/6} ?
The first derivative of 4x-5x^{5/6} is 4-(25)/(6x^{1/6)}