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Popular >

derivative of 3600(1-t/(60))^2

Solution

derivative of

3600 (1 - \frac{t}{60})^{2}

Solution

2 t - 120

Solution steps

\frac{d}{d t} (3600 (1 - \frac{t}{60})^{2})

Simplify

3600 (1 - \frac{t}{60})^{2} : 3600 - 120 t + t^{2}

= \frac{d}{d t} (3600 - 120 t + t^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (3600) - \frac{d}{d t} (120 t) + \frac{d}{d t} (t^{2})

\frac{d}{d t} (3600) = 0

\frac{d}{d t} (120 t) = 120

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

= 0 - 120 + 2 t

Simplify

= 2 t - 120

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Frequently Asked Questions (FAQ)

What is the derivative of 3600(1-t/(60))^2 ?
The derivative of 3600(1-t/(60))^2 is 2t-120
What is the first derivative of 3600(1-t/(60))^2 ?
The first derivative of 3600(1-t/(60))^2 is 2t-120