What is the derivative of (x+10)^{1/4} ?

The derivative of (x+10)^{1/4} is 1/(4(x+10)^{3/4)}

What is the first derivative of (x+10)^{1/4} ?

The first derivative of (x+10)^{1/4} is 1/(4(x+10)^{3/4)}

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derivative of

(x + 10)^{\frac{1}{4}}

\frac{1}{4 ( x + 10 ) ^{\frac{3}{4}}}

Solution steps

\frac{d}{d x} ((x + 10)^{\frac{1}{4}})

Apply the chain rule:

\frac{1}{4 ( x + 10 ) ^{\frac{3}{4}}} \frac{d}{d x} (x + 10)

= \frac{1}{4 ( x + 10 ) ^{\frac{3}{4}}} \frac{d}{d x} (x + 10)

\frac{d}{d x} (x + 10) = 1

= \frac{1}{4 ( x + 10 ) ^{\frac{3}{4}}} \cdot 1

Simplify

= \frac{1}{4 ( x + 10 ) ^{\frac{3}{4}}}

5 q^{2}

\frac{6}{4 x}

\frac{t ^{3}}{3} + \frac{t ^{2}}{2} + t - 1

6^{x + 2}

2^{x} + 3^{x}

What is the derivative of (x+10)^{1/4} ?
The derivative of (x+10)^{1/4} is 1/(4(x+10)^{3/4)}
What is the first derivative of (x+10)^{1/4} ?
The first derivative of (x+10)^{1/4} is 1/(4(x+10)^{3/4)}