Solve a(t) = 1000(1 (t-3)y%)

Evaluate

a (t) = 1000 (1 \times (t - 3) y %)

Simplify

More Steps

a (t) = 10 y (t - 3)

Take the derivative of both sides

a^{'} (t) = \frac{d}{d t} (10 y (t - 3))

Calculate

a^{'} (t) = \frac{d}{d t} (10 y t - 30 y)

Use differentiation rule \frac{d}{d x} (f (x) \pm g (x)) = \frac{d}{d x} (f (x)) \pm \frac{d}{d x} (g (x))

a^{'} (t) = \frac{d}{d t} (10 y t) + \frac{d}{d t} (- 30 y)

Calculate

More Steps

a^{'} (t) = 10 y + \frac{d}{d t} (- 30 y)

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

a^{'} (t) = 10 y + 0

Solution

a^{'} (t) = 10 y

Function