Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Interpretations of derivatives.
Example: Find out the equation of the tangent line to
x2 + y 2 =9
at the point (2, √5 ) .
Solution
We have to be given both the x & the y values of the point. Notice that this point does lie on the graph of the circle (you can verify by plugging the points into the equation) and thus it's okay to talk regarding the tangent line at this point.
Recall that to write the tangent line we required is the slope of the tangent line and it is nothing more than the derivative evaluated at the specified point.
Then the tangent line is.
y = √5 - 2/ √5 ( x - 2)
Now, let's work on some more examples.
There is a simple way to remember how to do the chain rule in these problems. Really the chain rule tells us to differentiate the function as usually we would, except we have to add on a derivative of the inside function. In implicit differentiation it means that every time we are differentiating a term along y in it the inside function is the y and we will have to add a y′ onto the term as that will be the derivative of the inside function. Let's see a couple of examples.
1/2+1/2
OPERATION RESEARCH ABSTRACT
how to get the objective report?
Q. How to Convert decimals to fractions? Ans. Note: This tutorial covers only terminating decimals.
I need help with my calculus work
a. Estimate the following model, C t = β 0 + β 1 * DI t + ε t Where C t = Aggregate Consumption Expenditure in Australia, quarterly data for the per
How can I use the I=Prt formula to get the interest for this problem? A car dealer sells me a car for $16450 with $3,290 down and $339.97 monthly payments for 48 months. What is
Fermat's Theorem : If f ( x ) contain a relative extrema at x = c & f ′ (c ) exists then x = c is a critical point of f ( x ) . Actually, it will be a critical point such that f
Q. Find Probabilities for the Standard Normal Distribution? Ans. Suppose the history teacher decides to distribute the final grades of his class with a normal distribution
Explain the Graphical Technique of Linear Equations.
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd