What is the derivative of x^4sqrt(x) ?

The derivative of x^4sqrt(x) is (9x^{7/2})/2

What is the first derivative of x^4sqrt(x) ?

The first derivative of x^4sqrt(x) is (9x^{7/2})/2

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Popular >

\frac{d}{d x} (x^{4} x)

\frac{9 x ^{\frac{7}{2}}}{2}

Solution steps

\frac{d}{d x} (x^{4} x)

Simplify

x^{4} x : x^{\frac{9}{2}}

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

Apply the Power Rule:

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

= \frac{9}{2} x^{\frac{9}{2} - 1}

Simplify

\frac{9}{2} x^{\frac{9}{2} - 1} : \frac{9 x ^{\frac{7}{2}}}{2}

= \frac{9 x ^{\frac{7}{2}}}{2}

\int \frac{3 x}{x ^{4} + 6 x ^{2} + 5} d x

x \to 0 + lim ((1 + a x)^{\frac{b}{x}})

\frac{d}{d x} (\frac{x ^{3} - 1}{2})

\frac{\partial}{\partial x} (2 x cos (x))

x^{2} y^{^{'}} - x y + 3 y^{2} = 0

What is the derivative of x^4sqrt(x) ?
The derivative of x^4sqrt(x) is (9x^{7/2})/2
What is the first derivative of x^4sqrt(x) ?
The first derivative of x^4sqrt(x) is (9x^{7/2})/2