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Popular >

derivative of y=\sqrt[9]{x^2}-x^e

Solution

derivative of

y = 9 x^{2} - x^{e}

Solution

\frac{2 x}{9 ( x ^{2} ) ^{\frac{8}{9}}} - e x^{e - 1}

Solution steps

\frac{d}{d x} (9 x^{2} - x^{e})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x^{2}) - \frac{d}{d x} (x^{e})

\frac{d}{d x} (9 x^{2}) = \frac{2 x}{9 ( x ^{2} ) ^{\frac{8}{9}}}

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

= \frac{2 x}{9 ( x ^{2} ) ^{\frac{8}{9}}} - e x^{e - 1}

Graph

Popular Examples

derivative of-Cx-d

\frac{d}{d x} (- C x - d)

(\partial)/(\partial x)(x^2y^2e^{6xy})

\frac{\partial}{\partial x} (x^{2} y^{2} e^{6 x y})

integral of (3-18x)/(sqrt(16-9x^2))

\int \frac{3 - 18 x}{16 - 9 x ^{2}} d x

y^{''}+y^'-2y=e^{-2t}

y^{^{''}} + y^{^{'}} - 2 y = e^{- 2 t}

limit as t approaches t of 3t^{1/3}

t \to t lim (3 t^{\frac{1}{3}})

Frequently Asked Questions (FAQ)

What is the derivative of y=\sqrt[9]{x^2}-x^e ?
The derivative of y=\sqrt[9]{x^2}-x^e is (2x)/(9(x^2)^{8/9)}-ex^{e-1}
What is the first derivative of y=\sqrt[9]{x^2}-x^e ?
The first derivative of y=\sqrt[9]{x^2}-x^e is (2x)/(9(x^2)^{8/9)}-ex^{e-1}