What is the derivative of sqrt(x)-5\sqrt[3]{x} ?

The derivative of sqrt(x)-5\sqrt[3]{x} is 1/(2sqrt(x))-5/(3x^{2/3)}

What is the first derivative of sqrt(x)-5\sqrt[3]{x} ?

The first derivative of sqrt(x)-5\sqrt[3]{x} is 1/(2sqrt(x))-5/(3x^{2/3)}

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derivative of

\frac{1}{2 x} - \frac{5}{3 x ^{\frac{2}{3}}}

Solution steps

Apply the Sum/Difference Rule:

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

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

= \frac{1}{2 x} - \frac{5}{3 x ^{\frac{2}{3}}}

\frac{1 - 2 x ^{2}}{x ^{4} - 2 x ^{2} + 6}

h \to 0 lim (\frac{( f ( h ) ( 0 + h ) - f ( 0 ) )}{h})

\int x f (x) d x

f (x) = 17 e^{x}

f (x) = - x^{2} + 4 x, at x = 1

What is the derivative of sqrt(x)-5\sqrt[3]{x} ?
The derivative of sqrt(x)-5\sqrt[3]{x} is 1/(2sqrt(x))-5/(3x^{2/3)}
What is the first derivative of sqrt(x)-5\sqrt[3]{x} ?
The first derivative of sqrt(x)-5\sqrt[3]{x} is 1/(2sqrt(x))-5/(3x^{2/3)}