Quotient Rule for Derivatives: Tangent Line Example

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In this video I go over a useful example on applying the quotient rule for derivatives in determining the equation of a tangent line to a curve.


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Quotient Rule for Derivatives: Tangent Line Example

Quotient Rule for Derivatives  Tangent Line Example.jpeg

Quotient Rule Recap

If f and g are both differentiable, then:

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Example

Find an equation of the tangent line to the curve y = ex/(1+x2) at the point (1, e/2).

Solution

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4 comments
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I'm currently reading book on differential geometry and tensor analysis, as well as learning programming.

Have a nice day.

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Sounds like fun! I'm probably going to have to start reading up on tensors...

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Yes, this sound great when You're reading about it because You want. When I was on 2nd year of Bachelor Studies i HAD TO learn multivariable analysis and therefore did not like it. Now when I CAN instead of HAVE TO, I love that. I'm such human.

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Yup! Wanting to learn something changes the entire dynamic of learning. Interestingly, multi-variable calculus was one topic I enjoyed a lot studying while in Uni. I should get on making videos on it in the future!

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