What is the derivative of sqrt(x)-sqrt(x^3) ?

The derivative of sqrt(x)-sqrt(x^3) is 1/(2sqrt(x))-(3sqrt(x))/2

What is the first derivative of sqrt(x)-sqrt(x^3) ?

The first derivative of sqrt(x)-sqrt(x^3) is 1/(2sqrt(x))-(3sqrt(x))/2

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derivative of

x - x^{3}

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

Solution steps

\frac{d}{d x} (x - x^{3})

Apply the Sum/Difference Rule:

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

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

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

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

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

\int \frac{1}{x ^{2} - 64} d x

x \to 1 - lim (\frac{7}{x ^{3} - 1})

x \to 9 lim (5)

(- 2, 8), (- 6, 0)

f (x) = e^{x^{3}}

What is the derivative of sqrt(x)-sqrt(x^3) ?
The derivative of sqrt(x)-sqrt(x^3) is 1/(2sqrt(x))-(3sqrt(x))/2
What is the first derivative of sqrt(x)-sqrt(x^3) ?
The first derivative of sqrt(x)-sqrt(x^3) is 1/(2sqrt(x))-(3sqrt(x))/2