Posted by **Vincent** on Saturday, July 9, 2011 at 1:10am.

There are two neighboring points P and Q on the curve f(x)=x^2

(a) Determine m(h), the slope of the straight line PQ

(b) The slope, S, of the tangent at P is defined as S=lim h->0 m(h). Find the value of S.

(c) Use this value of S to show that the equation of the tangent at P is y=4x-4.

## Answer this Question

## Related Questions

- Math - How can I determine a value of gradient from a graph if the line is ...
- 12th Grade Calculus - 1. a.) Find an equation for the line perpendicular to the ...
- Calculus (pleas help!) - Find the slope of the tangent line to the ellipse x^2/...
- calculus - 1. Given the curve a. Find an expression for the slope of the curve ...
- Calculus - Consider the curve given by y^2 = 2+xy (a) show that dy/dx= y/(2y-x...
- Calc AB - Suppose that f(x) is an invertible function (that is, has an inverse ...
- Calculus - I have a two part question that pertains to a curve (r(x)) and its ...
- Physics - can someone help i'm stuck on two questions??? 23. On a velocity-time ...
- calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...
- Calculus - The circle defined by the equation x^2 + y^2 = 18 has two points ...