What is the derivative of x-\sqrt[5]{1+x^5-6x^{10}} ?

The derivative of x-\sqrt[5]{1+x^5-6x^{10}} is 1-(x^4(-12x^5+1))/((1+x^5-6x^{10))^{4/5}}

What is the first derivative of x-\sqrt[5]{1+x^5-6x^{10}} ?

The first derivative of x-\sqrt[5]{1+x^5-6x^{10}} is 1-(x^4(-12x^5+1))/((1+x^5-6x^{10))^{4/5}}

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1 - \frac{x ^{4} ( - 12 x ^{5} + 1 )}{( 1 + x ^{5} - 6 x ^{10} ) ^{\frac{4}{5}}}

Solution steps

Apply the Sum/Difference Rule:

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

\frac{d x}{d x} = 1

= 1 - \frac{x ^{4} ( - 12 x ^{5} + 1 )}{( 1 + x ^{5} - 6 x ^{10} ) ^{\frac{4}{5}}}

\int x^{3} x d x

\int_{0}^{1} \frac{12}{4 x ^{2} + 5 x + 1} d x

x \to 2 lim (x (x - 4))

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

x \to \infty + lim (x^{2} e^{x})

What is the derivative of x-\sqrt[5]{1+x^5-6x^{10}} ?
The derivative of x-\sqrt[5]{1+x^5-6x^{10}} is 1-(x^4(-12x^5+1))/((1+x^5-6x^{10))^{4/5}}
What is the first derivative of x-\sqrt[5]{1+x^5-6x^{10}} ?
The first derivative of x-\sqrt[5]{1+x^5-6x^{10}} is 1-(x^4(-12x^5+1))/((1+x^5-6x^{10))^{4/5}}