Traveling at 40 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 240 miles from Orla
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The derivative is given by the limit
You have
Use the angle sum identity for tangent. I don't remember it off the top of my head, but I do remember the ones for (co)sine.
By this identity, you have
So in the limit you get
The first two limits are both 1, and the single term in the last limit approaches 0 as
which agrees with the result you get from applying the chain rule.