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

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

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

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

Popular >

derivative of

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

\frac{5 x ^{\frac{1}{3}}}{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{5 x ^{\frac{1}{3}}}{3}

x \to 6 - lim (\frac{- 6}{x + 6})

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

\frac{d y}{d x} = y^{2} + a^{2}

y^{^{''}} - 2 y^{^{'}} + y = e^{x} (2 - 12 x)

\int \frac{e ^{x}}{e ^{2 x} + 9} d x

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