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.
#How are Indian customers visiting Shoppers’ Stop any different from customers of developed western countries?
A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori
Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c} Ans: Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be writte
how do i multiply and divide fractions?
x+8/2=5x/6
Josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm. She is considering options of 3cm, 4cm and 5cm squares in order
Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul
Multiply following and write the answers in standard form. (a) 7 i ( -5 + 2 i ) (b) (1 - 5 i ) ( -9 + 2 i ) Solution (a) Thus all that we have to do is distribu
Evaluate the area of the region. a. 478 units 2 b. 578 units 2 c. 528 units 2 d. 428 units 2 b. Refer to the diagram to evaluate the area of the shaded
DEVELOPING PRE-NUMBER CONCEPTS : Previously you have read how children acquire concepts. You know that, for children to grasp a concept, they must be given several opportunities
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: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd