What is the derivative of 4500(1-1/50 t)^2 ?

The derivative of 4500(1-1/50 t)^2 is -180(1-t/(50))

What is the first derivative of 4500(1-1/50 t)^2 ?

The first derivative of 4500(1-1/50 t)^2 is -180(1-t/(50))

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derivative of

4500 (1 - \frac{1}{50} t)^{2}

- 180 (1 - \frac{t}{50})

Solution steps

\frac{d}{d t} (4500 (1 - \frac{1}{50} t)^{2})

Simplify

4500 (1 - \frac{1}{50} t)^{2} : 4500 (1 - \frac{t}{50})^{2}

= \frac{d}{d t} (4500 (1 - \frac{t}{50})^{2})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4500 \frac{d}{d t} ((1 - \frac{t}{50})^{2})

Apply the chain rule:

2 (1 - \frac{t}{50}) \frac{d}{d t} (1 - \frac{t}{50})

= 2 (1 - \frac{t}{50}) \frac{d}{d t} (1 - \frac{t}{50})

\frac{d}{d t} (1 - \frac{t}{50}) = - \frac{1}{50}

= 4500 \cdot 2 (1 - \frac{t}{50}) (- \frac{1}{50})

Simplify

4500 \cdot 2 (1 - \frac{t}{50}) (- \frac{1}{50}) : - 180 (1 - \frac{t}{50})

= - 180 (1 - \frac{t}{50})

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f (x) = \frac{( x - 2 ) ^{5}}{16}

x \to \infty lim (\frac{2 x ^{3} - 5 x + 4}{x ^{2} + 3 x - 4})

x cos (x)

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What is the derivative of 4500(1-1/50 t)^2 ?
The derivative of 4500(1-1/50 t)^2 is -180(1-t/(50))
What is the first derivative of 4500(1-1/50 t)^2 ?
The first derivative of 4500(1-1/50 t)^2 is -180(1-t/(50))