AQ4.3

[SUHANA PARVEEN S]

Calculate the slope of the parabola given by the following function: y=6x^2+10x+15y at the point (2,y)

In this question are we taking derivative and solving it.. or any other direct method??

Regards

[Anand Iyer]

I say working with the derivative is the easiest and the shortest (just one step).

In fact, I never understood the method taught in the videos or maybe, I didn't try enough to understand it:)

[SUHANA PARVEEN S]

Of course me also didn't understand from videos anything... And I become doubt that derivative is not used in the lecture anywhere , then how to solve this.that's why asked.

I know derivative and so  I can solve it.. but what about the other people who are forgot all these things

[Malabika Guha Mustafi]

There are so many people who  non maths (class 11-12) background that may be the reason never use of derivatives.

[SUHANA PARVEEN S]

Then what about those peoples in solving these kind of questions..??

[Malabika Guha Mustafi]

Using the slope formula, slope of a point= 2ax +b

[SUHANA PARVEEN S]

If u don't mind...Please share what about the value of b in eqn?

[Malabika Guha Mustafi]

ax^2 + bx +c

[SUHANA PARVEEN S]

Sorry...I'm not getting the sense of how answer is 24

[Malabika Guha Mustafi]

a=6

b=10

so slope= 2ax+b=2.6.2 + 10=34

[SUHANA PARVEEN S]

Thank u  malabika

[Mohan Palanisamy]

1 point

Pls give the derivation of below

Calculate the slope of the parabola given by the following function: y=6x2+10x+15y=6x2+10x+15 at the point (2,y)(2,y).

3434

−10x+10−10x+10

10x10x

21

[SUHANA PARVEEN S]

this can be done in two ways. 

according to lecture ... using the eqn 2ax+b , where a=6,b=10,and x=2( from the point given) ie, 2*6*2+10=34

another step is by derivatives, when deriving  6x^2+10x+15  becomes 2(6x)+10+0( bcz constant cannot be derived)

we get 12x+10 in this put x=2 , which also gives answer 34

regards

[Statistics 1 Support 1]

This is a maths question. 

Slope at a particular point is nothing but dy/dx value at that point.  You need to find the dy/dx value at (2,y).

For the given equation,
dy/dx= 12x+10, 

Implies dy/dx at (2,y) is 12*2+10=34.

Thanks & Regards,

Ram,

Course Support Team