Solve g= 10m/s^2 - ScanMath

Evaluate

g = 10 \times \frac{m}{s ^{2}}

Multiply the terms

g = \frac{10 m}{s ^{2}}

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

\frac{\partial g}{\partial m} = \frac{\partial}{\partial m} (\frac{10 m}{s ^{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 g}{\partial m} = \frac{\frac{\partial}{\partial m} ( 10 m ) s ^{2} - 10 m \times \frac{\partial}{\partial m} ( s ^{2} )}{( s ^{2} ) ^{2}}

Evaluate

More Steps

\frac{\partial g}{\partial m} = \frac{10 s ^{2} - 10 m \times \frac{\partial}{\partial m} ( s ^{2} )}{( s ^{2} ) ^{2}}

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

\frac{\partial g}{\partial m} = \frac{10 s ^{2} - 10 m \times 0}{( s ^{2} ) ^{2}}

Any expression multiplied by 0 equals 0

\frac{\partial g}{\partial m} = \frac{10 s ^{2} - 0}{( s ^{2} ) ^{2}}

Evaluate

More Steps

\frac{\partial g}{\partial m} = \frac{10 s ^{2} - 0}{s ^{4}}

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

\frac{\partial g}{\partial m} = \frac{10 s ^{2}}{s ^{4}}

Solution

More Steps

\frac{\partial g}{\partial m} = \frac{10}{s ^{2}}

Function