What is the derivative of h(t)=-16t^2+144t ?

The derivative of h(t)=-16t^2+144t is -32t+144

What is the first derivative of h(t)=-16t^2+144t ?

The first derivative of h(t)=-16t^2+144t is -32t+144

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derivative of

h (t) = - 16 t^{2} + 144 t

- 32 t + 144

Solution steps

\frac{d}{d t} (- 16 t^{2} + 144 t)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d t} (16 t^{2}) + \frac{d}{d t} (144 t)

\frac{d}{d t} (16 t^{2}) = 32 t

\frac{d}{d t} (144 t) = 144

= - 32 t + 144

What is the derivative of h(t)=-16t^2+144t ?
The derivative of h(t)=-16t^2+144t is -32t+144
What is the first derivative of h(t)=-16t^2+144t ?
The first derivative of h(t)=-16t^2+144t is -32t+144