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Popular >

derivative of 6sqrt(x)+4x^{4/5}

Solution

derivative of

6 x + 4 x^{\frac{4}{5}}

Solution

\frac{3}{x ^{\frac{1}{2}}} + \frac{16}{5 x ^{\frac{1}{5}}}

Solution steps

\frac{d}{d x} (6 x + 4 x^{\frac{4}{5}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x) + \frac{d}{d x} (4 x^{\frac{4}{5}})

\frac{d}{d x} (6 x) = \frac{3}{x ^{\frac{1}{2}}}

\frac{d}{d x} (4 x^{\frac{4}{5}}) = \frac{16}{5 x ^{\frac{1}{5}}}

= \frac{3}{x ^{\frac{1}{2}}} + \frac{16}{5 x ^{\frac{1}{5}}}

Popular Examples

integral of θtan(θ)

\int θ tan (θ) d θ

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\int 4 sin (x) - 2 cos (x) d x

derivative of (3x/(sqrt(x^2+2)))

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

derivative of xcos(6x)

\frac{d}{d x} (x cos (6 x))

derivative of y=(2(2x^5-9))/(x^4)derivative of

y = \frac{2 ( 2 x ^{5} - 9 )}{x ^{4}}

Frequently Asked Questions (FAQ)

What is the derivative of 6sqrt(x)+4x^{4/5} ?
The derivative of 6sqrt(x)+4x^{4/5} is 3/(x^{1/2)}+(16)/(5x^{1/5)}
What is the first derivative of 6sqrt(x)+4x^{4/5} ?
The first derivative of 6sqrt(x)+4x^{4/5} is 3/(x^{1/2)}+(16)/(5x^{1/5)}