What is the derivative of 2000(1+x/(12)^{60}) ?

The derivative of 2000(1+x/(12)^{60}) is 10000(x/(12)+1)^{59}

What is the first derivative of 2000(1+x/(12)^{60}) ?

The first derivative of 2000(1+x/(12)^{60}) is 10000(x/(12)+1)^{59}

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\frac{d}{d x} (2000 (1 + \frac{x}{12})^{60})

10000 (\frac{x}{12} + 1)^{59}

Solution steps

\frac{d}{d x} (2000 (1 + \frac{x}{12})^{60})

Take the constant out:

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

= 2000 \frac{d}{d x} ((1 + \frac{x}{12})^{60})

Apply the chain rule:

60 (1 + \frac{x}{12})^{59} \frac{d}{d x} (1 + \frac{x}{12})

= 60 (1 + \frac{x}{12})^{59} \frac{d}{d x} (1 + \frac{x}{12})

\frac{d}{d x} (1 + \frac{x}{12}) = \frac{1}{12}

= 2000 \cdot 60 (1 + \frac{x}{12})^{59} \frac{1}{12}

Simplify

2000 \cdot 60 (1 + \frac{x}{12})^{59} \frac{1}{12} : 10000 (\frac{x}{12} + 1)^{59}

= 10000 (\frac{x}{12} + 1)^{59}

\frac{d}{d x} ((cos (5 x))^{x})

\int \frac{1}{16 x ^{2} + 1} d x

tan^{2} (x) + 1

y e^{x}

y^{^{'}} = y (5 - y)

What is the derivative of 2000(1+x/(12)^{60}) ?
The derivative of 2000(1+x/(12)^{60}) is 10000(x/(12)+1)^{59}
What is the first derivative of 2000(1+x/(12)^{60}) ?
The first derivative of 2000(1+x/(12)^{60}) is 10000(x/(12)+1)^{59}