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Popular >

derivative of g(u)=sqrt(2)u+sqrt(3u)

Solution

derivative of

g (u) = 2 u + 3 u

Solution

2 + \frac{3}{2 u}

Solution steps

\frac{d}{d u} (2 u + 3 u)

Apply the Sum/Difference Rule:

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

= \frac{d}{d u} (2 u) + \frac{d}{d u} (3 u)

\frac{d}{d u} (2 u) = 2

\frac{d}{d u} (3 u) = \frac{3}{2 u}

= 2 + \frac{3}{2 u}

Graph

Popular Examples

limit as x approaches 0 of-2x+1

x \to 0 lim (- 2 x + 1)

derivative of (a^x/(ln(a)))

\frac{d}{d x} (\frac{a ^{x}}{ln ( a )})

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

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

integral of ((x^2-a^2)^{3/2})/x

\int \frac{( x ^{2} - a ^{2} ) ^{\frac{3}{2}}}{x} d x

(dy)/(dt)= y/(t+1)+4t^2+4t,y(1)=12

\frac{d y}{d t} = \frac{y}{t + 1} + 4 t^{2} + 4 t, y (1) = 12

Frequently Asked Questions (FAQ)

What is the derivative of g(u)=sqrt(2)u+sqrt(3u) ?
The derivative of g(u)=sqrt(2)u+sqrt(3u) is sqrt(2)+(sqrt(3))/(2sqrt(u))
What is the first derivative of g(u)=sqrt(2)u+sqrt(3u) ?
The first derivative of g(u)=sqrt(2)u+sqrt(3u) is sqrt(2)+(sqrt(3))/(2sqrt(u))