Solve u=1838 w/m^2

Evaluate

u = 1838 \times \frac{w}{m ^{2}}

Multiply the terms

u = \frac{1838 w}{m ^{2}}

Find the first partial derivative by treating the variable m as a constant and differentiating with respect to w

\frac{\partial u}{\partial w} = \frac{\partial}{\partial w} (\frac{1838 w}{m ^{2}})

Use differentiation rule \frac{\partial}{\partial x} (\frac{f ( x )}{g ( x )}) = \frac{\frac{\partial}{\partial x} ( f ( x )) \times g ( x ) - f ( x ) \times \frac{\partial}{\partial x} ( g ( x ) )}{( g ( x ) ) ^{2}}

\frac{\partial u}{\partial w} = \frac{\frac{\partial}{\partial w} ( 1838 w ) m ^{2} - 1838 w \times \frac{\partial}{\partial w} ( m ^{2} )}{( m ^{2} ) ^{2}}

Evaluate

More Steps

\frac{\partial u}{\partial w} = \frac{1838 m ^{2} - 1838 w \times \frac{\partial}{\partial w} ( m ^{2} )}{( m ^{2} ) ^{2}}

Use \frac{\partial}{\partial x} (c) = 0 to find derivative

\frac{\partial u}{\partial w} = \frac{1838 m ^{2} - 1838 w \times 0}{( m ^{2} ) ^{2}}

Any expression multiplied by 0 equals 0

\frac{\partial u}{\partial w} = \frac{1838 m ^{2} - 0}{( m ^{2} ) ^{2}}

Evaluate

More Steps

\frac{\partial u}{\partial w} = \frac{1838 m ^{2} - 0}{m ^{4}}

Removing 0 doesn't change the value,so remove it from the expression

\frac{\partial u}{\partial w} = \frac{1838 m ^{2}}{m ^{4}}

Solution

More Steps

\frac{\partial u}{\partial w} = \frac{1838}{m ^{2}}

Function