Solve y=-16t^2-10t^305

Evaluate

y = - 16 t^{2} - 10 t^{3} \times 5

Simplify

y = - 16 t^{2} - 50 t^{3}

Take the derivative of both sides

y^{'} = \frac{d}{d t} (- 16 t^{2} - 50 t^{3})

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))

y^{'} = - \frac{d}{d t} (16 t^{2}) - \frac{d}{d t} (50 t^{3})

Calculate

More Steps

y^{'} = - 32 t - \frac{d}{d t} (50 t^{3})

Solution

More Steps

y^{'} = - 32 t - 150 t^{2}

Function