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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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{d}{d x} (e^{- a x} cos (b x))

y = ∣ x ∣, y = x^{2}

\int \frac{sin ( θ ) - 1}{cos ^{2} ( θ )} d θ

\frac{\partial}{\partial y} (e^{- x y})

\frac{\partial}{\partial x} (y e^{\frac{x}{y}} - z)

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