What is the derivative of-t^3+15t^2-72t ?

The derivative of-t^3+15t^2-72t is -3t^2+30t-72

What is the first derivative of-t^3+15t^2-72t ?

The first derivative of-t^3+15t^2-72t is -3t^2+30t-72

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derivative of

- t^{3} + 15 t^{2} - 72 t

- 3 t^{2} + 30 t - 72

Solution steps

\frac{d}{d t} (- t^{3} + 15 t^{2} - 72 t)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d t} (t^{3}) + \frac{d}{d t} (15 t^{2}) - \frac{d}{d t} (72 t)

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

\frac{d}{d t} (15 t^{2}) = 30 t

\frac{d}{d t} (72 t) = 72

= - 3 t^{2} + 30 t - 72

\frac{\partial}{\partial y} (3 x^{2} + 4 y^{2})

x \to 0 lim (1 + cos^{3} (x))

y^{^{'}} \cdot 1 + x^{2} = x y^{2}

\frac{d}{d x} (7 + 5 x)

f (x) = \frac{1}{x + 4}

What is the derivative of-t^3+15t^2-72t ?
The derivative of-t^3+15t^2-72t is -3t^2+30t-72
What is the first derivative of-t^3+15t^2-72t ?
The first derivative of-t^3+15t^2-72t is -3t^2+30t-72