Solve t = 2x/a - ScanMath

Evaluate

t = 2 \times \frac{x}{a}

Multiply the terms

t = \frac{2 x}{a}

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

\frac{\partial t}{\partial x} = \frac{\partial}{\partial x} (\frac{2 x}{a})

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 t}{\partial x} = \frac{\frac{\partial}{\partial x} ( 2 x ) a - 2 x \times \frac{\partial}{\partial x} ( a )}{a ^{2}}

Evaluate

More Steps

\frac{\partial t}{\partial x} = \frac{2 a - 2 x \times \frac{\partial}{\partial x} ( a )}{a ^{2}}

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

\frac{\partial t}{\partial x} = \frac{2 a - 2 x \times 0}{a ^{2}}

Any expression multiplied by 0 equals 0

\frac{\partial t}{\partial x} = \frac{2 a - 0}{a ^{2}}

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

\frac{\partial t}{\partial x} = \frac{2 a}{a ^{2}}

Solution

More Steps

\frac{\partial t}{\partial x} = \frac{2}{a}

Function