What is the derivative of x^{1/5}+4 ?

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

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

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

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

\frac{1}{5 x ^{\frac{4}{5}}}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (4) = 0

= \frac{1}{5 x ^{\frac{4}{5}}} + 0

Simplify

= \frac{1}{5 x ^{\frac{4}{5}}}

\frac{d y}{d x} + y = \frac{1}{e ^{2 x} - 5 e ^{x} + 4}

\frac{d}{d x} (e^{3 x} + 3 e^{3 x} x)

x \to 0 lim (- 6 x + 9)

\int_{1}^{4} (x^{2} - 4 x + 2) d x

d er i v a t i v e y = 12 x sin (x)

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