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Popular >

derivative of 3-(10/(3x^{1/6)})

Solution

\frac{d}{d x} (3 - \frac{10}{3 x ^{\frac{1}{6}}})

Solution

\frac{5}{9 x ^{\frac{7}{6}}}

Solution steps

\frac{d}{d x} (3 - \frac{10}{3 x ^{\frac{1}{6}}})

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (3) = 0

\frac{d}{d x} (\frac{10}{3 x ^{\frac{1}{6}}}) = - \frac{5}{9 x ^{\frac{7}{6}}}

= 0 - (- \frac{5}{9 x ^{\frac{7}{6}}})

Simplify

= \frac{5}{9 x ^{\frac{7}{6}}}

Popular Examples

sum from n=1 to infinity of (1-1/n)^2

n = 1 \sum \infty (1 - \frac{1}{n})^{2}

inverse oflaplace 1/(s^2-3)inverse laplace

\frac{1}{s ^{2} - 3}

integral of (2x)/((1-x^2))

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

y^{^{'}} = \frac{y}{x} + x e^{x}

integral of 2/(x^2(x^2+25))

\int \frac{2}{x ^{2} ( x ^{2} + 25 )} d x

Frequently Asked Questions (FAQ)

What is the derivative of 3-(10/(3x^{1/6)}) ?
The derivative of 3-(10/(3x^{1/6)}) is 5/(9x^{7/6)}
What is the first derivative of 3-(10/(3x^{1/6)}) ?
The first derivative of 3-(10/(3x^{1/6)}) is 5/(9x^{7/6)}