Wednesday
June 19, 2013

# Homework Help: calculus

Posted by Raj on Saturday, November 13, 2010 at 4:51pm.

use the definition of the derivative to calculate f'(x), if f(x)= SQRT(2x) and find the equations of the tangent line and the normal line to the graph of f at x=2

• calculus - Reiny, Saturday, November 13, 2010 at 4:57pm

f(x) = √(2x)
f '(x) = (/2)(2)(2x)^(-1/2) or 1/√(2x)

f(2) = 2
f'(2) = 1/2

tangent equation:
x - 2y = c
at (2,2)
2-4=c
c = -2

tanglent: x-2y=-2

normal: slope = -2
equation:
2x + y = k
at (2,2,)
4+2 = k = 6

normal : 2x + y = 6

Related Questions

HS Calculus - Definition of the derivative to calculate f'(x) if f(x) = ...
Calculus - Tangent Line - Hi, im having problems with the following problem. The...
calculus totally confused - find a first degree polynomial function p(1) whose ...
ap calculus ab - for f(x)=lnx we know that f(e)=1. Use the tangent line at(e,1) ...
calculus - Find equations of the tangent line and normal line to the curve at ...
College Calculus - Let f(x) = 3x^2 - 2x + 1 a) write an equation of the line ...
calculus - Find the equation of the tangent line to the curve y=sqrt(x) at x = c...
Math - point on the graph (check +help) - Determine the coordinates of the point...
Calculus - (A) Find the equations of the tangent lines to the circle x^2 +y^2=25...
Calculus - I have a two part question that pertains to a curve (r(x)) and its ...