Wednesday

October 22, 2014

October 22, 2014

Posted by **Ifi** on Sunday, October 28, 2012 at 10:55am.

y=3x^2-5x at the point (2,2).

My ans is f'(2)=7 & y=7x-12.

What is parabola exactly? & is the any possibility if the eqtn of f(x) is not the same with parabola eqtn? If yes, how to calculate the tangent equation ? Can u give any clue or tips or keywords for answering this kind of question....

- Math -
**Steve**, Sunday, October 28, 2012 at 12:07pmexcuse me? You're in calculus, and don't know what a parabola is?

Regardless, just work with the math.

y'(x) = 6x-5

y'(2) = 7

y(2) = 2

So, you want the equation of the line passing through (2,2) with slope 7:

(y-2) = 7(x-2)

Your answer is correct.

Any quadratic equation represents a parabola. Go to wolfram and type in some quadratic functions. You will see that they are all parabolas.

**Answer this Question**

**Related Questions**

Math - Let f(x) be the parabola -x^2+16x-16. find the point (x,y) on f such that...

Calc. - Find the area of the region bounded by the parabola y=x^2, the tangent ...

calc - for the parametric curve defined by x=3-2t^2 and y=5-2t ...sketch the ...

math - The line x=c where c>0 intersects the cubic y=2x^(3)+3x^(2)-9 at point...

math - Use implicit differentiation to find the equation of the tangent line to ...

calculus - The line x=c where c>0 intersects the cubic y=2x^(3)+3x^(2)-9 at ...

Pre-Calculus - Im having trouble with this. Find an equation of the tangent line...

Pre-Cal - Find an equation of the tangent line to the parabola at the given ...

calculus - Consider the function below. f(x) = 4x2 - 5x (a) Find f '(2). (b) Use...

math - Consider the parabola y = 7x - x2. (a) Find the slope of the tangent line...