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Popular >

derivative of \sqrt[3]{1+7x}

Solution

derivative of

Solution

\frac{7}{3 ( 1 + 7 x ) ^{\frac{2}{3}}}

Solution steps

Apply the chain rule:

\frac{1}{3 ( 1 + 7 x ) ^{\frac{2}{3}}} \frac{d}{d x} (1 + 7 x)

= \frac{1}{3 ( 1 + 7 x ) ^{\frac{2}{3}}} \frac{d}{d x} (1 + 7 x)

\frac{d}{d x} (1 + 7 x) = 7

= \frac{1}{3 ( 1 + 7 x ) ^{\frac{2}{3}}} \cdot 7

Simplify

\frac{1}{3 ( 1 + 7 x ) ^{\frac{2}{3}}} \cdot 7 : \frac{7}{3 ( 1 + 7 x ) ^{\frac{2}{3}}}

= \frac{7}{3 ( 1 + 7 x ) ^{\frac{2}{3}}}

Popular Examples

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\frac{1}{s ( s ^{2} - 2 s + 2 )}

y^'+y+1/x y=(e^{-x})/x

y^{^{'}} + y + \frac{1}{x} y = \frac{e ^{- x}}{x}

derivative of f(x)=x^{9/2}derivative of

f (x) = x^{\frac{9}{2}}

3y^{''}-4y^'-15y=0

3 y^{^{''}} - 4 y^{^{'}} - 15 y = 0

derivative of 2/3 (x^2+1)^{3/2}derivative of

\frac{2}{3} (x^{2} + 1)^{\frac{3}{2}}

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[3]{1+7x} ?
The derivative of \sqrt[3]{1+7x} is 7/(3(1+7x)^{2/3)}
What is the first derivative of \sqrt[3]{1+7x} ?
The first derivative of \sqrt[3]{1+7x} is 7/(3(1+7x)^{2/3)}