Hey, guys I'm miserably stuck on this problem and require urgent help. Thanks.. Find the slope of the tangent to each curve at the given point. y=SQUARE ROOT 25-x^2 ; at points (3,4). Please provide a clear explanation as I am math noob, lol.
Hey, guys I'm miserably stuck on this problem and require urgent help. Thanks.. Find the slope of the tangent to each curve at the given point. y=SQUARE ROOT 25-x^2 ; at points (3,4). Please provide a clear explanation as I am math noob, lol.
the derivative gives the slope of the tangent line at any point. so all we need to do here, is find the derivative and plug in x = 3, since that is the x-value of the point we are concerned with
we have a composite function here, therefore we need the chain rule to differentiate this guy.
to refresh your memory, the chain rule says:
Now on to your problem:
or
I leave the rest to you
oh, you have to use the limit definition? the answer still turns out to be the same, which means you made a mistake somewhere
Since,
We have:
Rationalize the numerator
expand the brackets in the numerator
the 9's cancel, now factor out an h from the top to cancel with the one in the bottom
Now take the limit
I'm a moron! Similar question but my answer turns out to be positive. Can you please help with a little explanation:
Find the slope of the tangent to each curve at the given point.
y= 8 at x=5
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Square root x+11