Solve h=-16t^280t^25

Evaluate

h = - 16 t^{2} \times 80 t^{2} \times 5

Simplify

More Steps

h = - 6400 t^{4}

Take the derivative of both sides

h^{'} = \frac{d}{d t} (- 6400 t^{4})

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

h^{'} = - 6400 \times \frac{d}{d t} (t^{4})

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

h^{'} = - 6400 \times 4 t^{3}

Solution

h^{'} = - 25600 t^{3}

Function