Solve S(t)=\dfrac32t^2 2t^3

Evaluate

S (t) = d (\frac{32}{t})^{2} \times 2 t^{3}

Simplify

More Steps

S (t) = 2048 d t

Take the derivative of both sides

S^{'} (t) = \frac{d}{d t} (2048 d t)

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

S^{'} (t) = 2048 d \times \frac{d}{d t} (t)

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

S^{'} (t) = 2048 d \times 1

Solution

S^{'} (t) = 2048 d

Function