Solve m=p*9550/n - ScanMath

Evaluate

m = p \times \frac{9550}{n}

Multiply the terms

More Steps

m = \frac{9550 p}{n}

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

\frac{\partial m}{\partial p} = \frac{\partial}{\partial p} (\frac{9550 p}{n})

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 m}{\partial p} = \frac{\frac{\partial}{\partial p} ( 9550 p ) n - 9550 p \times \frac{\partial}{\partial p} ( n )}{n ^{2}}

Evaluate

More Steps

\frac{\partial m}{\partial p} = \frac{9550 n - 9550 p \times \frac{\partial}{\partial p} ( n )}{n ^{2}}

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

\frac{\partial m}{\partial p} = \frac{9550 n - 9550 p \times 0}{n ^{2}}

Any expression multiplied by 0 equals 0

\frac{\partial m}{\partial p} = \frac{9550 n - 0}{n ^{2}}

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

\frac{\partial m}{\partial p} = \frac{9550 n}{n ^{2}}

Solution

More Steps

\frac{\partial m}{\partial p} = \frac{9550}{n}

Function