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

The derivative of 3t^2-30t+72 is 6t-30

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

The first derivative of 3t^2-30t+72 is 6t-30

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derivative of

3 t^{2} - 30 t + 72

6 t - 30

Solution steps

\frac{d}{d t} (3 t^{2} - 30 t + 72)

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (3 t^{2}) - \frac{d}{d t} (30 t) + \frac{d}{d t} (72)

\frac{d}{d t} (3 t^{2}) = 6 t

\frac{d}{d t} (30 t) = 30

\frac{d}{d t} (72) = 0

= 6 t - 30 + 0

Simplify

= 6 t - 30

f (x) = \frac{8}{x}

x \to - 1 + lim (\frac{2 x}{x + 1})

\frac{d}{d x} (x^{2}, x)

x \to 0 + lim (\frac{1}{1 - 2 ^{\frac{1}{x}}})

\int sin (5 π t) d t

What is the derivative of 3t^2-30t+72 ?
The derivative of 3t^2-30t+72 is 6t-30
What is the first derivative of 3t^2-30t+72 ?
The first derivative of 3t^2-30t+72 is 6t-30