What is the derivative of \sqrt[7]{x^6}-x^{sqrt(2)} ?

The derivative of \sqrt[7]{x^6}-x^{sqrt(2)} is (6x^5)/(7(x^6)^{6/7)}-sqrt(2)x^{sqrt(2)-1}

What is the first derivative of \sqrt[7]{x^6}-x^{sqrt(2)} ?

The first derivative of \sqrt[7]{x^6}-x^{sqrt(2)} is (6x^5)/(7(x^6)^{6/7)}-sqrt(2)x^{sqrt(2)-1}

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derivative of

\frac{6 x ^{5}}{7 ( x ^{6} ) ^{\frac{6}{7}}} - 2 x^{2 - 1}

Solution steps

Apply the Sum/Difference Rule:

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

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

= \frac{6 x ^{5}}{7 ( x ^{6} ) ^{\frac{6}{7}}} - 2 x^{2 - 1}

x \to 6 lim (8 x^{2} - 3 x + 1)

x \to - 5 + lim (\frac{5 x}{x + 5})

f (x) = 2 x^{2} - 9 x + 10

f^{^{'}} (x) = 6 x + 1 2^{\frac{3}{4}}

\int (e^{x} - e^{- x})^{2} d x

What is the derivative of \sqrt[7]{x^6}-x^{sqrt(2)} ?
The derivative of \sqrt[7]{x^6}-x^{sqrt(2)} is (6x^5)/(7(x^6)^{6/7)}-sqrt(2)x^{sqrt(2)-1}
What is the first derivative of \sqrt[7]{x^6}-x^{sqrt(2)} ?
The first derivative of \sqrt[7]{x^6}-x^{sqrt(2)} is (6x^5)/(7(x^6)^{6/7)}-sqrt(2)x^{sqrt(2)-1}