What is the derivative of f(x)=3x^{5/4} ?

The derivative of f(x)=3x^{5/4} is (15x^{1/4})/4

What is the first derivative of f(x)=3x^{5/4} ?

The first derivative of f(x)=3x^{5/4} is (15x^{1/4})/4

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derivative of

f (x) = 3 x^{\frac{5}{4}}

\frac{15 x ^{\frac{1}{4}}}{4}

Solution steps

\frac{d}{d x} (3 x^{\frac{5}{4}})

Take the constant out:

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

= 3 \frac{d}{d x} (x^{\frac{5}{4}})

Apply the Power Rule:

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

= 3 \cdot \frac{5}{4} x^{\frac{5}{4} - 1}

Simplify

3 \cdot \frac{5}{4} x^{\frac{5}{4} - 1} : \frac{15 x ^{\frac{1}{4}}}{4}

= \frac{15 x ^{\frac{1}{4}}}{4}

What is the derivative of f(x)=3x^{5/4} ?
The derivative of f(x)=3x^{5/4} is (15x^{1/4})/4
What is the first derivative of f(x)=3x^{5/4} ?
The first derivative of f(x)=3x^{5/4} is (15x^{1/4})/4