What is the derivative of f(x)=5x^{3/2} ?

The derivative of f(x)=5x^{3/2} is (15x^{1/2})/2

What is the first derivative of f(x)=5x^{3/2} ?

The first derivative of f(x)=5x^{3/2} is (15x^{1/2})/2

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derivative of

f (x) = 5 x^{\frac{3}{2}}

\frac{15 x ^{\frac{1}{2}}}{2}

Solution steps

\frac{d}{d x} (5 x^{\frac{3}{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 5 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

5 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : \frac{15 x ^{\frac{1}{2}}}{2}

= \frac{15 x ^{\frac{1}{2}}}{2}

\int 4 x^{3} - 2 x^{2} d x

\int 6 x \cdot e^{x^{2} - 2} d x

\frac{d}{d z} (sin (z))

\int \frac{1}{- u ^{2} + b - a} d u

x \to \infty lim (\frac{x - x x}{2 x ^{\frac{3}{2}} + 3 x - 5})

What is the derivative of f(x)=5x^{3/2} ?
The derivative of f(x)=5x^{3/2} is (15x^{1/2})/2
What is the first derivative of f(x)=5x^{3/2} ?
The first derivative of f(x)=5x^{3/2} is (15x^{1/2})/2