Solve s= 2/1 a t^2

Evaluate

s = \frac{2}{1} a t^{2}

Divide the terms

s = 2 a t^{2}

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

\frac{\partial s}{\partial a} = \frac{\partial}{\partial a} (2 a t^{2})

Use differentiation rule \frac{\partial}{\partial x} (c f (x)) = c \times \frac{\partial}{\partial x} (f (x))

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

Use \frac{\partial}{\partial x} x^{n} = n x^{n - 1} to find derivative

\frac{\partial s}{\partial a} = 2 t^{2} \times 1

Solution

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

Function