What is the derivative of (5x+3)^{1/5} ?

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

What is the first derivative of (5x+3)^{1/5} ?

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

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derivative of

(5 x + 3)^{\frac{1}{5}}

\frac{1}{( 5 x + 3 ) ^{\frac{4}{5}}}

Solution steps

\frac{d}{d x} ((5 x + 3)^{\frac{1}{5}})

Apply the chain rule:

\frac{1}{5 ( 5 x + 3 ) ^{\frac{4}{5}}} \frac{d}{d x} (5 x + 3)

= \frac{1}{5 ( 5 x + 3 ) ^{\frac{4}{5}}} \frac{d}{d x} (5 x + 3)

\frac{d}{d x} (5 x + 3) = 5

= \frac{1}{5 ( 5 x + 3 ) ^{\frac{4}{5}}} \cdot 5

Simplify

\frac{1}{5 ( 5 x + 3 ) ^{\frac{4}{5}}} \cdot 5 : \frac{1}{( 5 x + 3 ) ^{\frac{4}{5}}}

= \frac{1}{( 5 x + 3 ) ^{\frac{4}{5}}}

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

\int 14 cos (x) d x

x^{^{'}} + 4 x = 0

\int e^{- 22 x} d x

y = 108 - 90 e^{- 0.4 t}

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