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Popular >

derivative of \sqrt[7]{x}+2sqrt(x^7)

Solution

Solution

\frac{1 + 49 x ^{\frac{47}{14}}}{7 x ^{\frac{6}{7}}}

Solution steps

Apply the Sum/Difference Rule:

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

\frac{d}{d x} (2 x^{7}) = 7 x^{\frac{5}{2}}

= \frac{1}{7 x ^{\frac{6}{7}}} + 7 x^{\frac{5}{2}}

Simplify

\frac{1}{7 x ^{\frac{6}{7}}} + 7 x^{\frac{5}{2}} : \frac{1 + 49 x ^{\frac{47}{14}}}{7 x ^{\frac{6}{7}}}

= \frac{1 + 49 x ^{\frac{47}{14}}}{7 x ^{\frac{6}{7}}}

Popular Examples

integral of x^7e^{-x^4}

\int x^{7} e^{- x^{4}} d x

integral of log_{b}(x)

\int lo g_{b} (x) d x

area y+x=4,36-9x=y^2 area

y + x = 4, 36 - 9 x = y^{2}

d/(dt)(A*(cos(ωt+φ)))

\frac{d}{d t} (A \cdot (cos (ω t + φ)))

y^'(x)=(x^2)/(1-y^2),y(4)=2

y^{^{'}} (x) = \frac{x ^{2}}{1 - y ^{2}}, y (4) = 2

Frequently Asked Questions (FAQ)

What is the derivative of \sqrt[7]{x}+2sqrt(x^7) ?
The derivative of \sqrt[7]{x}+2sqrt(x^7) is (1+49x^{47/14})/(7x^{6/7)}
What is the first derivative of \sqrt[7]{x}+2sqrt(x^7) ?
The first derivative of \sqrt[7]{x}+2sqrt(x^7) is (1+49x^{47/14})/(7x^{6/7)}