What is the derivative of \sqrt[9]{x^8}-x^pi ?

The derivative of \sqrt[9]{x^8}-x^pi is (8x^7)/(9(x^8)^{8/9)}-pix^{pi-1}

What is the first derivative of \sqrt[9]{x^8}-x^pi ?

The first derivative of \sqrt[9]{x^8}-x^pi is (8x^7)/(9(x^8)^{8/9)}-pix^{pi-1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

\frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}} - π x^{π - 1}

Solution steps

Apply the Sum/Difference Rule:

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

\frac{d}{d x} (x^{π}) = π x^{π - 1}

= \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}} - π x^{π - 1}

What is the derivative of \sqrt[9]{x^8}-x^pi ?
The derivative of \sqrt[9]{x^8}-x^pi is (8x^7)/(9(x^8)^{8/9)}-pix^{pi-1}
What is the first derivative of \sqrt[9]{x^8}-x^pi ?
The first derivative of \sqrt[9]{x^8}-x^pi is (8x^7)/(9(x^8)^{8/9)}-pix^{pi-1}