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.
Functions and Graphs Need assistance, Please describe Functions and Graphs.
If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex. [Ans: 3/2 , 3/√ 3/2 or 3/2, -3√ 3/2] Ans: OA = OB = AB OA 2 = OB 2 = AB 2
Q. How to divide two fractions?If you want to divide two fractions, You invert the second fraction (that means, turn it upside-down) and multiply (change the division to a
Any 15 foot ladder is resting against the wall. The bottom is at first 10 feet away from the wall & is being pushed in the direction of the wall at a rate of 1 ft/sec. How rapid is
Finds out the center & radius of each of the following circles & sketch the graph of the circle. a) x 2 + y 2 = 1 b) x 2 + ( y - 3) 2 = 4 Solution In all of these
Correlation coefficient - These are numerical measures of the correlations existing between the independent and the dependent variables - These are better measures of corre
a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3.what is the area of the triangle.
TYPES OF INFINITY : Mostly the students have run across infinity at several points in previous time to a calculus class. Though, when they have dealt along with this, this was jus
solve for y 3x+4y=7
need help with future value project
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