A map of a bike race has a scale of 2 inches=50 miles. The distance to the 1st aid station from the starting line is about 1.25"
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Find the derivative of
You can treat y as a composite function of x:
so use the chain rule to differentiate y:
The first derivative is 1/u, and the second one can be evaluated by applying the quotient rule:
Multiply out those terms in parentheses:
Substitute back for
Simplifying that product, you get
∴
I hope this helps. =)
Tags: <em>derivative composite function logarithmic logarithm log trigonometric trig secant tangent sec tan chain rule quotient rule differential integral calculus</em>
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Find the derivative of
You can treat y as a composite function of x:
so use the chain rule to differentiate y:
The first derivative is 1/u, and the second one can be evaluated by applying the quotient rule:
Multiply out those terms in parentheses:
Substitute back for
Simplifying that product, you get
∴
I hope this helps. =)
Tags: <em>derivative composite function logarithmic logarithm log trigonometric trig secant tangent sec tan chain rule quotient rule differential integral calculus</em>