What is the derivative of f(x)=x^{3/2} ?

The derivative of f(x)=x^{3/2} is (3x^{1/2})/2

What is the first derivative of f(x)=x^{3/2} ?

The first derivative of f(x)=x^{3/2} is (3x^{1/2})/2

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derivative of

f (x) = x^{\frac{3}{2}}

\frac{3 x ^{\frac{1}{2}}}{2}

Solution steps

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

Apply the Power Rule:

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

= \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

\frac{3}{2} x^{\frac{3}{2} - 1} : \frac{3 x ^{\frac{1}{2}}}{2}

= \frac{3 x ^{\frac{1}{2}}}{2}

\frac{x ^{3}}{x ^{2} + 12}

y y^{^{'}} = 8 sin (x)

\frac{d}{d x} (\frac{x}{( x - 8 ) ^{2}})

f (x) = e^{x}, at x = ln (12)

x \to 1 lim (x^{3} - x^{2} + 4 x)

What is the derivative of f(x)=x^{3/2} ?
The derivative of f(x)=x^{3/2} is (3x^{1/2})/2
What is the first derivative of f(x)=x^{3/2} ?
The first derivative of f(x)=x^{3/2} is (3x^{1/2})/2